55595100 has 144 divisors (see below), whose sum is σ = 185988096. Its totient is φ = 12672000.

The previous prime is 55595093. The next prime is 55595119. The reversal of 55595100 is 159555.

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 47 ways as a sum of consecutive naturals, for example, 55605 + ... + 56595.

It is an arithmetic number, because the mean of its divisors is an integer number (1291584).

Almost surely, 2^55595100 is an apocalyptic number.

55595100 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 55595100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92994048).

55595100 is an abundant number, since it is smaller than the sum of its proper divisors (130392996).

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

55595100 is a wasteful number, since it uses less digits than its factorization.

55595100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1036 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 5625, while the sum is 30.

The square root of 55595100 is about 7456.2121750927. The cubic root of 55595100 is about 381.6619268897.

The spelling of 55595100 in words is "fifty-five million, five hundred ninety-five thousand, one hundred".