24968100 has 36 divisors (see below), whose sum is σ = 72241904. Its totient is φ = 6658080.

The previous prime is 24968077. The next prime is 24968107. The reversal of 24968100 is 186942.

It is a super-2 number, since 2×24968100² = 1246812035220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (24968107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41314 + ... + 41913.

Almost surely, 2^24968100 is an apocalyptic number.

24968100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24968100 is an abundant number, since it is smaller than the sum of its proper divisors (47273804).

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

24968100 is a wasteful number, since it uses less digits than its factorization.

24968100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83244 (or 83237 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 24968100 is about 4996.8089817402. The cubic root of 24968100 is about 292.2773526647.

The spelling of 24968100 in words is "twenty-four million, nine hundred sixty-eight thousand, one hundred".