100152496 has 40 divisors (see below), whose sum is σ = 207102320. Its totient is φ = 46780416.

The previous prime is 100152431. The next prime is 100152497. The reversal of 100152496 is 694251001.

It is not an unprimeable number, because it can be changed into a prime (100152497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19936 + ... + 24448.

It is an arithmetic number, because the mean of its divisors is an integer number (5177558).

Almost surely, 2^100152496 is an apocalyptic number.

100152496 is a gapful number since it is divisible by the number (16) 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 100152496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103551160).

100152496 is an abundant number, since it is smaller than the sum of its proper divisors (106949824).

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

100152496 is a wasteful number, since it uses less digits than its factorization.

100152496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4613 (or 4607 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 100152496 is about 10007.6218953356. The cubic root of 100152496 is about 464.3947047727.

The spelling of 100152496 in words is "one hundred million, one hundred fifty-two thousand, four hundred ninety-six".