100897632 has 72 divisors (see below), whose sum is σ = 313021800. Its totient is φ = 30574080.

The previous prime is 100897627. The next prime is 100897633. The reversal of 100897632 is 236798001.

100897632 is a `hidden beast` number, since 10 + 0 + 8 + 9 + 7 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100897633) 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, 12757 + ... + 19092.

It is an arithmetic number, because the mean of its divisors is an integer number (4347525).

Almost surely, 2^100897632 is an apocalyptic number.

100897632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100897632 is an abundant number, since it is smaller than the sum of its proper divisors (212124168).

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

100897632 is a wasteful number, since it uses less digits than its factorization.

100897632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31876 (or 31865 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 100897632 is about 10044.7813316169. The cubic root of 100897632 is about 465.5435613738.

The spelling of 100897632 in words is "one hundred million, eight hundred ninety-seven thousand, six hundred thirty-two".