106232410656 has 192 divisors, whose sum is σ = 318910556160. Its totient is φ = 34389653760.

The previous prime is 106232410643. The next prime is 106232410663. The reversal of 106232410656 is 656014232601.

106232410656 is a `hidden beast` number, since 1 + 0 + 6 + 232 + 410 + 6 + 5 + 6 = 666.

It is a super-2 number, since 2×106232410656² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 106232410656.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4097125 + ... + 4122971.

It is an arithmetic number, because the mean of its divisors is an integer number (1660992480).

Almost surely, 2^106232410656 is an apocalyptic number.

106232410656 is a gapful number since it is divisible by the number (16) 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 106232410656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159455278080).

106232410656 is an abundant number, since it is smaller than the sum of its proper divisors (212678145504).

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

106232410656 is a wasteful number, since it uses less digits than its factorization.

106232410656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26004 (or 25990 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 106232410656 in words is "one hundred six billion, two hundred thirty-two million, four hundred ten thousand, six hundred fifty-six".