100764048 has 160 divisors (see below), whose sum is σ = 328550400. Its totient is φ = 25850880.

The previous prime is 100763983. The next prime is 100764089. The reversal of 100764048 is 840467001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 506253 + ... + 506451.

It is an arithmetic number, because the mean of its divisors is an integer number (2053440).

Almost surely, 2^100764048 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 100764048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164275200).

100764048 is an abundant number, since it is smaller than the sum of its proper divisors (227786352).

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

100764048 is a wasteful number, since it uses less digits than its factorization.

100764048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 100764048 is about 10038.1297062750. The cubic root of 100764048 is about 465.3380176119.

The spelling of 100764048 in words is "one hundred million, seven hundred sixty-four thousand, forty-eight".