100736120 has 32 divisors (see below), whose sum is σ = 227517120. Its totient is φ = 40141440.

The previous prime is 100736107. The next prime is 100736123. The reversal of 100736120 is 21637001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 100736092 and 100736101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100736123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6194 + ... + 15486.

It is an arithmetic number, because the mean of its divisors is an integer number (7109910).

Almost surely, 2^100736120 is an apocalyptic number.

100736120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100736120 is an abundant number, since it is smaller than the sum of its proper divisors (126781000).

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

100736120 is a wasteful number, since it uses less digits than its factorization.

100736120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9575 (or 9571 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 100736120 is about 10036.7385140792. The cubic root of 100736120 is about 465.2950222471.

The spelling of 100736120 in words is "one hundred million, seven hundred thirty-six thousand, one hundred twenty".