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106521337400 = 23524160721401
BaseRepresentation
bin110001100110100101…
…0101001111000111000
3101011221122200121101112
41203031022221320320
53221123430244100
6120534001535452
710460461266662
oct1431512517070
9334848617345
10106521337400
11411a2577445
1218789944588
13a0778c167a
1452271bb532
152b86a02b35
hex18cd2a9e38

106521337400 has 96 divisors (see below), whose sum is σ = 254132484480. Its totient is φ = 41498880000.

The previous prime is 106521337393. The next prime is 106521337409. The reversal of 106521337400 is 4733125601.

It is a super-2 number, since 2×1065213374002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106521337409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4966700 + ... + 4988100.

It is an arithmetic number, because the mean of its divisors is an integer number (2647213380).

Almost surely, 2106521337400 is an apocalyptic number.

106521337400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106521337400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127066242240).

106521337400 is an abundant number, since it is smaller than the sum of its proper divisors (147611147080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106521337400 is a wasteful number, since it uses less digits than its factorization.

106521337400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22065 (or 22056 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The spelling of 106521337400 in words is "one hundred six billion, five hundred twenty-one million, three hundred thirty-seven thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 164 200 205 328 410 607 820 1025 1214 1640 2050 2428 3035 4100 4856 6070 8200 12140 15175 21401 24280 24887 30350 42802 49774 60700 85604 99548 107005 121400 124435 171208 199096 214010 248870 428020 497740 535025 622175 856040 877441 995480 1070050 1244350 1754882 2140100 2488700 3509764 4280200 4387205 4977400 7019528 8774410 12990407 17548820 21936025 25980814 35097640 43872050 51961628 64952035 87744100 103923256 129904070 175488200 259808140 324760175 519616280 532606687 649520350 1065213374 1299040700 2130426748 2598081400 2663033435 4260853496 5326066870 10652133740 13315167175 21304267480 26630334350 53260668700 106521337400