100075632 has 40 divisors (see below), whose sum is σ = 259383696. Its totient is φ = 33248256.

The previous prime is 100075631. The next prime is 100075667. The reversal of 100075632 is 236570001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100075631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11928 + ... + 18504.

Almost surely, 2^100075632 is an apocalyptic number.

100075632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100075632 is an abundant number, since it is smaller than the sum of its proper divisors (159308064).

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

100075632 is a wasteful number, since it uses less digits than its factorization.

100075632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6905 (or 6899 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 100075632 is about 10003.7808852453. The cubic root of 100075632 is about 464.2758714217.

The spelling of 100075632 in words is "one hundred million, seventy-five thousand, six hundred thirty-two".