55101900 has 144 divisors (see below), whose sum is σ = 191932160. Its totient is φ = 11923200.

The previous prime is 55101899. The next prime is 55101931. The reversal of 55101900 is 910155.

It is a happy number.

It is a super-2 number, since 2×55101900² = 6072438767220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 39210 + ... + 40590.

Almost surely, 2^55101900 is an apocalyptic number.

55101900 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 55101900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95966080).

55101900 is an abundant number, since it is smaller than the sum of its proper divisors (136830260).

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

55101900 is a wasteful number, since it uses less digits than its factorization.

55101900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1424 (or 1417 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 21.

The square root of 55101900 is about 7423.0654045347. The cubic root of 55101900 is about 380.5299623054.

The spelling of 55101900 in words is "fifty-five million, one hundred one thousand, nine hundred".