106292304432 has 400 divisors, whose sum is σ = 332707098240. Its totient is φ = 32641449984.

The previous prime is 106292304427. The next prime is 106292304439. The reversal of 106292304432 is 234403292601.

106292304432 is a `hidden beast` number, since 1 + 0 + 629 + 23 + 0 + 4 + 4 + 3 + 2 = 666.

It is a super-2 number, since 2×106292304432² (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 not an unprimeable number, because it can be changed into a prime (106292304439) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 301111168 + ... + 301111520.

Almost surely, 2^106292304432 is an apocalyptic number.

106292304432 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 106292304432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166353549120).

106292304432 is an abundant number, since it is smaller than the sum of its proper divisors (226414793808).

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

106292304432 is a wasteful number, since it uses less digits than its factorization.

106292304432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 106292304432 in words is "one hundred six billion, two hundred ninety-two million, three hundred four thousand, four hundred thirty-two".