100462160 has 80 divisors (see below), whose sum is σ = 247484160. Its totient is φ = 37847040.

The previous prime is 100462157. The next prime is 100462199. The reversal of 100462160 is 61264001.

It is a happy number.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130256 + ... + 131024.

It is an arithmetic number, because the mean of its divisors is an integer number (3093552).

Almost surely, 2^100462160 is an apocalyptic number.

100462160 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 100462160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123742080).

100462160 is an abundant number, since it is smaller than the sum of its proper divisors (147022000).

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

100462160 is a wasteful number, since it uses less digits than its factorization.

100462160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 100462160 is about 10023.0813625352. The cubic root of 100462160 is about 464.8728368509.

The spelling of 100462160 in words is "one hundred million, four hundred sixty-two thousand, one hundred sixty".