100763424 has 72 divisors (see below), whose sum is σ = 288278172. Its totient is φ = 33384960.

The previous prime is 100763419. The next prime is 100763477. The reversal of 100763424 is 424367001.

100763424 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 634 + 24 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 94711824 + 6051600 = 9732^2 + 2460^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51162 + ... + 53094.

Almost surely, 2^100763424 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 100763424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144139086).

100763424 is an abundant number, since it is smaller than the sum of its proper divisors (187514748).

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

100763424 is a wasteful number, since it uses less digits than its factorization.

100763424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2130 (or 2119 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 100763424 is about 10038.0986247396. The cubic root of 100763424 is about 465.3370570460.

The spelling of 100763424 in words is "one hundred million, seven hundred sixty-three thousand, four hundred twenty-four".