100152300 has 72 divisors (see below), whose sum is σ = 295981056. Its totient is φ = 26135360.

The previous prime is 100152293. The next prime is 100152317. The reversal of 100152300 is 3251001.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 10549 + ... + 17651.

It is an arithmetic number, because the mean of its divisors is an integer number (4110848).

Almost surely, 2^100152300 is an apocalyptic number.

100152300 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 100152300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147990528).

100152300 is an abundant number, since it is smaller than the sum of its proper divisors (195828756).

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

100152300 is a wasteful number, since it uses less digits than its factorization.

100152300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7167 (or 7160 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 100152300 is about 10007.6121027946. The cubic root of 100152300 is about 464.3944018300.

It can be divided in two parts, 1001 and 52300, that added together give a triangular number (53301 = T₃₂₆).

The spelling of 100152300 in words is "one hundred million, one hundred fifty-two thousand, three hundred".