100854160 has 80 divisors (see below), whose sum is σ = 264125952. Its totient is φ = 35481600.

The previous prime is 100854157. The next prime is 100854161. The reversal of 100854160 is 61458001.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (100854161) 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, 25432 + ... + 29128.

Almost surely, 2^100854160 is an apocalyptic number.

100854160 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 100854160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132062976).

100854160 is an abundant number, since it is smaller than the sum of its proper divisors (163271792).

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

100854160 is a wasteful number, since it uses less digits than its factorization.

100854160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3752 (or 3746 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 100854160 is about 10042.6171887611. The cubic root of 100854160 is about 465.4766915621.

The spelling of 100854160 in words is "one hundred million, eight hundred fifty-four thousand, one hundred sixty".