55264100 has 36 divisors (see below), whose sum is σ = 120760500. Its totient is φ = 21951360.

The previous prime is 55264081. The next prime is 55264117. The reversal of 55264100 is 146255.

It can be written as a sum of positive squares in 6 ways, for example, as 11888704 + 43375396 = 3448^2 + 6586^2 .

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, 13046 + ... + 16754.

Almost surely, 2^55264100 is an apocalyptic number.

55264100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55264100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60380250).

55264100 is an abundant number, since it is smaller than the sum of its proper divisors (65496400).

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

55264100 is a wasteful number, since it uses less digits than its factorization.

55264100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3872 (or 3865 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 55264100 is about 7433.9827817934. The cubic root of 55264100 is about 380.9029772491.

The spelling of 55264100 in words is "fifty-five million, two hundred sixty-four thousand, one hundred".