55100900 has 36 divisors (see below), whose sum is σ = 120218868. Its totient is φ = 21920640.

The previous prime is 55100897. The next prime is 55100923. The reversal of 55100900 is 900155.

It can be written as a sum of positive squares in 6 ways, for example, as 4946176 + 50154724 = 2224^2 + 7082^2 .

It is a super-2 number, since 2×55100900² = 6072218361620000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 18302 + ... + 21098.

It is an arithmetic number, because the mean of its divisors is an integer number (3339413).

Almost surely, 2^55100900 is an apocalyptic number.

55100900 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 55100900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60109434).

55100900 is an abundant number, since it is smaller than the sum of its proper divisors (65117968).

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

55100900 is a wasteful number, since it uses less digits than its factorization.

55100900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3008 (or 3001 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 20.

The square root of 55100900 is about 7422.9980466116. The cubic root of 55100900 is about 380.5276603142.

The spelling of 55100900 in words is "fifty-five million, one hundred thousand, nine hundred".