106031430432 has 96 divisors (see below), whose sum is σ = 317616768000. Its totient is φ = 34388561664.

The previous prime is 106031430391. The next prime is 106031430433. The reversal of 106031430432 is 234034130601.

106031430432 is a `hidden beast` number, since 1 + 0 + 603 + 14 + 3 + 0 + 43 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×106031430432² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 106031430396 and 106031430405.

It is not an unprimeable number, because it can be changed into a prime (106031430433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1626432 + ... + 1690367.

It is an arithmetic number, because the mean of its divisors is an integer number (3308508000).

Almost surely, 2^106031430432 is an apocalyptic number.

106031430432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106031430432 is an abundant number, since it is smaller than the sum of its proper divisors (211585337568).

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

106031430432 is a wasteful number, since it uses less digits than its factorization.

106031430432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3316855 (or 3316841 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The spelling of 106031430432 in words is "one hundred six billion, thirty-one million, four hundred thirty thousand, four hundred thirty-two".