100152768 has 56 divisors (see below), whose sum is σ = 268010640. Its totient is φ = 33003520.

The previous prime is 100152757. The next prime is 100152841. The reversal of 100152768 is 867251001.

It is a congruent number.

It is an unprimeable number.

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, 14158 + ... + 20018.

Almost surely, 2^100152768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100152768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134005320).

100152768 is an abundant number, since it is smaller than the sum of its proper divisors (167857872).

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

100152768 is an equidigital number, since it uses as much as digits as its factorization.

100152768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5965 (or 5955 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 100152768 is about 10007.6354849685. The cubic root of 100152768 is about 464.3951251824.

The spelling of 100152768 in words is "one hundred million, one hundred fifty-two thousand, seven hundred sixty-eight".