54968100 has 72 divisors (see below), whose sum is σ = 173509728. Its totient is φ = 13324800.

The previous prime is 54968047. The next prime is 54968119. The reversal of 54968100 is 186945.

It is a super-2 number, since 2×54968100² = 6042984035220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5029 + ... + 11628.

Almost surely, 2^54968100 is an apocalyptic number.

54968100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54968100 is an abundant number, since it is smaller than the sum of its proper divisors (118541628).

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

54968100 is a wasteful number, since it uses less digits than its factorization.

54968100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16685 (or 16678 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 54968100 is about 7414.0474775928. The cubic root of 54968100 is about 380.2217081094.

The spelling of 54968100 in words is "fifty-four million, nine hundred sixty-eight thousand, one hundred".