100153452 has 72 divisors (see below), whose sum is σ = 275788800. Its totient is φ = 28200480.

The previous prime is 100153441. The next prime is 100153457. The reversal of 100153452 is 254351001.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (100153457) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40549 + ... + 42947.

It is an arithmetic number, because the mean of its divisors is an integer number (3830400).

Almost surely, 2^100153452 is an apocalyptic number.

100153452 is a gapful number since it is divisible by the number (12) 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 100153452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137894400).

100153452 is an abundant number, since it is smaller than the sum of its proper divisors (175635348).

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

100153452 is a wasteful number, since it uses less digits than its factorization.

100153452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2491 (or 2482 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 100153452 is about 10007.6696588167. The cubic root of 100153452 is about 464.3961823858.

The spelling of 100153452 in words is "one hundred million, one hundred fifty-three thousand, four hundred fifty-two".