106431473504032 has 96 divisors (see below), whose sum is σ = 214331745841920. Its totient is φ = 52001641697280.

The previous prime is 106431473503987. The next prime is 106431473504053. The reversal of 106431473504032 is 230405374134601.

It is a super-2 number, since 2×106431473504032² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106431473504032.

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 15 ways as a sum of consecutive naturals, for example, 2515673023 + ... + 2515715329.

It is an arithmetic number, because the mean of its divisors is an integer number (2232622352520).

Almost surely, 2^{106431473504032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106431473504032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107165872920960).

106431473504032 is an abundant number, since it is smaller than the sum of its proper divisors (107900272337888).

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

106431473504032 is a wasteful number, since it uses less digits than its factorization.

106431473504032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44954 (or 44946 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 43.

The spelling of 106431473504032 in words is "one hundred six trillion, four hundred thirty-one billion, four hundred seventy-three million, five hundred four thousand, thirty-two".