100192152 has 64 divisors (see below), whose sum is σ = 272423520. Its totient is φ = 30578688.

The previous prime is 100192139. The next prime is 100192153. The reversal of 100192152 is 251291001.

It is a super-2 number, since 2×100192152² = 20076934644782208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100192153) 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, 11778 + ... + 18414.

Almost surely, 2^100192152 is an apocalyptic number.

100192152 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 100192152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136211760).

100192152 is an abundant number, since it is smaller than the sum of its proper divisors (172231368).

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

100192152 is a wasteful number, since it uses less digits than its factorization.

100192152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6700 (or 6696 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 21.

The square root of 100192152 is about 10009.6029891300. The cubic root of 100192152 is about 464.4559900029.

The spelling of 100192152 in words is "one hundred million, one hundred ninety-two thousand, one hundred fifty-two".