100250160 has 80 divisors (see below), whose sum is σ = 311738976. Its totient is φ = 26650624.

The previous prime is 100250159. The next prime is 100250167. The reversal of 100250160 is 61052001.

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 (15).

It is not an unprimeable number, because it can be changed into a prime (100250167) 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, 147742 + ... + 148418.

Almost surely, 2^100250160 is an apocalyptic number.

100250160 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 100250160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155869488).

100250160 is an abundant number, since it is smaller than the sum of its proper divisors (211488816).

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

100250160 is a wasteful number, since it uses less digits than its factorization.

100250160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1310 (or 1304 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 100250160 is about 10012.5001872659. The cubic root of 100250160 is about 464.5456076847.

The spelling of 100250160 in words is "one hundred million, two hundred fifty thousand, one hundred sixty".