106176411326640 has 40 divisors (see below), whose sum is σ = 329146875113328. Its totient is φ = 28313709687040.

The previous prime is 106176411326639. The next prime is 106176411326659. The reversal of 106176411326640 is 46623114671601.

106176411326640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×106176411326640² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 106176411326640.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 221200856691 + ... + 221200857170.

Almost surely, 2^{106176411326640} is an apocalyptic number.

106176411326640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106176411326640 is an abundant number, since it is smaller than the sum of its proper divisors (222970463786688).

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

106176411326640 is a wasteful number, since it uses less digits than its factorization.

106176411326640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442401713877 (or 442401713871 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 106176411326640 in words is "one hundred six trillion, one hundred seventy-six billion, four hundred eleven million, three hundred twenty-six thousand, six hundred forty".