55946100 has 72 divisors (see below), whose sum is σ = 185002048. Its totient is φ = 12787200.

The previous prime is 55946081. The next prime is 55946113. The reversal of 55946100 is 164955.

It is a super-2 number, since 2×55946100² = 6259932210420000, which contains 22 as substring.

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

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, 11221 + ... + 15420.

Almost surely, 2^55946100 is an apocalyptic number.

55946100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

55946100 is an abundant number, since it is smaller than the sum of its proper divisors (129055948).

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

55946100 is a wasteful number, since it uses less digits than its factorization.

55946100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26665 (or 26658 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 55946100 is about 7479.7125613221. The cubic root of 55946100 is about 382.4634507347.

The spelling of 55946100 in words is "fifty-five million, nine hundred forty-six thousand, one hundred".