100364160 has 128 divisors (see below), whose sum is σ = 344604960. Its totient is φ = 24698880.

The previous prime is 100364149. The next prime is 100364167. The reversal of 100364160 is 61463001.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×100364160² = 20145929225011200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100364167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22950 + ... + 26970.

Almost surely, 2^100364160 is an apocalyptic number.

100364160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100364160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172302480).

100364160 is an abundant number, since it is smaller than the sum of its proper divisors (244240800).

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

100364160 is a wasteful number, since it uses less digits than its factorization.

100364160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4056 (or 4044 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 100364160 is about 10018.1914535509. The cubic root of 100364160 is about 464.7216278129.

It can be divided in two parts, 10036 and 4160, that added together give a triangular number (14196 = T₁₆₈).

The spelling of 100364160 in words is "one hundred million, three hundred sixty-four thousand, one hundred sixty".