106815344832 has 168 divisors, whose sum is σ = 352053851136. Its totient is φ = 30331252224.

The previous prime is 106815344819. The next prime is 106815344851. The reversal of 106815344832 is 238443518601.

106815344832 is a `hidden beast` number, since 1 + 0 + 6 + 81 + 534 + 4 + 8 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×106815344832² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 575953 + ... + 738479.

Almost surely, 2^106815344832 is an apocalyptic number.

106815344832 is a gapful number since it is divisible by the number (12) 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 106815344832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176026925568).

106815344832 is an abundant number, since it is smaller than the sum of its proper divisors (245238506304).

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

106815344832 is a wasteful number, since it uses less digits than its factorization.

106815344832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162715 (or 162702 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 106815344832 in words is "one hundred six billion, eight hundred fifteen million, three hundred forty-four thousand, eight hundred thirty-two".