100152000 has 336 divisors, whose sum is σ = 389424672. Its totient is φ = 24422400.

The previous prime is 100151999. The next prime is 100152011. The reversal of 100152000 is 251001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 935947 + ... + 936053.

It is an arithmetic number, because the mean of its divisors is an integer number (1159002).

Almost surely, 2^100152000 is an apocalyptic number.

100152000 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 100152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194712336).

100152000 is an abundant number, since it is smaller than the sum of its proper divisors (289272672).

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

100152000 is a wasteful number, since it uses less digits than its factorization.

100152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 100152000 is about 10007.5971141928. The cubic root of 100152000 is about 464.3939381413.

Subtracting from 100152000 its reverse (251001), we obtain a palindrome (99900999).

It can be divided in two parts, 100 and 152000, that added together give a square (152100 = 390²).

The spelling of 100152000 in words is "one hundred million, one hundred fifty-two thousand".