106613334432 has 192 divisors, whose sum is σ = 357078758400. Its totient is φ = 30606647040.

The previous prime is 106613334419. The next prime is 106613334437. The reversal of 106613334432 is 234433316601.

106613334432 is a `hidden beast` number, since 1 + 0 + 6 + 613 + 3 + 3 + 4 + 4 + 32 = 666.

It is a super-2 number, since 2×106613334432² (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 (106613334437) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114628 + ... + 475779.

It is an arithmetic number, because the mean of its divisors is an integer number (1859785200).

Almost surely, 2^106613334432 is an apocalyptic number.

106613334432 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 106613334432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178539379200).

106613334432 is an abundant number, since it is smaller than the sum of its proper divisors (250465423968).

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

106613334432 is a wasteful number, since it uses less digits than its factorization.

106613334432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590456 (or 590442 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The spelling of 106613334432 in words is "one hundred six billion, six hundred thirteen million, three hundred thirty-four thousand, four hundred thirty-two".