152560100 has 72 divisors (see below), whose sum is σ = 412765248. Its totient is φ = 47548800.

The previous prime is 152560099. The next prime is 152560141. The reversal of 152560100 is 1065251.

152560100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×152560100² = 46549168224020000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2207 + ... + 17606.

Almost surely, 2^152560100 is an apocalyptic number.

152560100 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 152560100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206382624).

152560100 is an abundant number, since it is smaller than the sum of its proper divisors (260205148).

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

152560100 is a wasteful number, since it uses less digits than its factorization.

152560100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19845 (or 19838 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 152560100 is about 12351.5221734003. The cubic root of 152560100 is about 534.3350401591.

The spelling of 152560100 in words is "one hundred fifty-two million, five hundred sixty thousand, one hundred".