106555891972032 has 84 divisors (see below), whose sum is σ = 305487900087240. Its totient is φ = 35511109396992.

The previous prime is 106555891972003. The next prime is 106555891972037. The reversal of 106555891972032 is 230279198555601.

106555891972032 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 5 + 589 + 19 + 7 + 2 + 0 + 32 = 666.

106555891972032 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106555891972032² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106555891972037) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16863807 + ... + 22304702.

Almost surely, 2^{106555891972032} is an apocalyptic number.

106555891972032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106555891972032 is an abundant number, since it is smaller than the sum of its proper divisors (198932008115208).

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

106555891972032 is a wasteful number, since it uses less digits than its factorization.

106555891972032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39173250 (or 39173237 counting only the distinct ones).

The product of its (nonzero) digits is 40824000, while the sum is 63.

The spelling of 106555891972032 in words is "one hundred six trillion, five hundred fifty-five billion, eight hundred ninety-one million, nine hundred seventy-two thousand, thirty-two".