100992627072 has 96 divisors (see below), whose sum is σ = 292905550080. Its totient is φ = 33399088128.

The previous prime is 100992627059. The next prime is 100992627077. The reversal of 100992627072 is 270726299001.

100992627072 is a `hidden beast` number, since 10 + 0 + 9 + 9 + 2 + 627 + 0 + 7 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100992627077) 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, 198843 + ... + 491450.

It is an arithmetic number, because the mean of its divisors is an integer number (3051099480).

Almost surely, 2^100992627072 is an apocalyptic number.

100992627072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100992627072 is an abundant number, since it is smaller than the sum of its proper divisors (191912923008).

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

100992627072 is a wasteful number, since it uses less digits than its factorization.

100992627072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690440 (or 690425 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 100992627072 in words is "one hundred billion, nine hundred ninety-two million, six hundred twenty-seven thousand, seventy-two".