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106602410440 = 2354875472403
BaseRepresentation
bin110001101000111111…
…1111011000111001000
3101012011022020112200201
41203101333323013020
53221310204113230
6120550015341544
710462464352351
oct1432177730710
9335138215621
10106602410440
1141234310859
12187b0b218b4
13a08b639296
145233c82d28
152b8dbb95ca
hex18d1ffb1c8

106602410440 has 32 divisors (see below), whose sum is σ = 240347983680. Its totient is φ = 42553397952.

The previous prime is 106602410437. The next prime is 106602410441. The reversal of 106602410440 is 44014206601.

It is a super-2 number, since 2×1066024104402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106602410399 and 106602410408.

It is not an unprimeable number, because it can be changed into a prime (106602410441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2716722 + ... + 2755681.

It is an arithmetic number, because the mean of its divisors is an integer number (7510874490).

Almost surely, 2106602410440 is an apocalyptic number.

106602410440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106602410440 is an abundant number, since it is smaller than the sum of its proper divisors (133745573240).

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

106602410440 is a wasteful number, since it uses less digits than its factorization.

106602410440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5472901 (or 5472897 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

It can be divided in two parts, 10660 and 2410440, that added together give a triangular number (2421100 = T2200).

The spelling of 106602410440 in words is "one hundred six billion, six hundred two million, four hundred ten thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 487 974 1948 2435 3896 4870 9740 19480 5472403 10944806 21889612 27362015 43779224 54724030 109448060 218896120 2665060261 5330120522 10660241044 13325301305 21320482088 26650602610 53301205220 106602410440