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106090175800 = 2352775778697
BaseRepresentation
bin110001011001101110…
…1111001110100111000
3101010211121101022212101
41202303131321310320
53214233041111200
6120423120353144
710444004421040
oct1426335716470
9333747338771
10106090175800
1140aa1158344
12186894757b4
13a00948c46b
1451c5c24720
152b5dc3626a
hex18b3779d38

106090175800 has 48 divisors (see below), whose sum is σ = 281896756560. Its totient is φ = 36373774080.

The previous prime is 106090175699. The next prime is 106090175827. The reversal of 106090175800 is 8571090601.

It is a super-2 number, since 2×1060901758002 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106090175800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37887949 + ... + 37890748.

It is an arithmetic number, because the mean of its divisors is an integer number (5872849095).

Almost surely, 2106090175800 is an apocalyptic number.

106090175800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106090175800 is an abundant number, since it is smaller than the sum of its proper divisors (175806580760).

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

106090175800 is a wasteful number, since it uses less digits than its factorization.

106090175800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75778720 (or 75778711 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 37.

The spelling of 106090175800 in words is "one hundred six billion, ninety million, one hundred seventy-five thousand, eight hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 75778697 151557394 303114788 378893485 530450879 606229576 757786970 1060901758 1515573940 1894467425 2121803516 2652254395 3031147880 3788934850 4243607032 5304508790 7577869700 10609017580 13261271975 15155739400 21218035160 26522543950 53045087900 106090175800