100053024 has 96 divisors (see below), whose sum is σ = 281304576. Its totient is φ = 31027200.

The previous prime is 100053017. The next prime is 100053047. The reversal of 100053024 is 420350001.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×100053024² = 20021215223089152, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100052994 and 100053012.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164529 + ... + 165135.

It is an arithmetic number, because the mean of its divisors is an integer number (2930256).

Almost surely, 2^100053024 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 100053024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140652288).

100053024 is an abundant number, since it is smaller than the sum of its proper divisors (181251552).

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

100053024 is a wasteful number, since it uses less digits than its factorization.

100053024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 100053024 is about 10002.6508486501. The cubic root of 100053024 is about 464.2409074009.

The spelling of 100053024 in words is "one hundred million, fifty-three thousand, twenty-four".