55748100 has 108 divisors (see below), whose sum is σ = 171610544. Its totient is φ = 13969920.

The previous prime is 55748093. The next prime is 55748101. The reversal of 55748100 is 184755.

55748100 = T₄₇₁ + T₄₇₂ + ... + T₇₅₉.

It is a super-2 number, since 2×55748100² = 6215701307220000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (55748101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 86379 + ... + 87021.

Almost surely, 2^55748100 is an apocalyptic number.

55748100 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 55748100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85805272).

55748100 is an abundant number, since it is smaller than the sum of its proper divisors (115862444).

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

55748100 is a wasteful number, since it uses less digits than its factorization.

55748100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 30.

The square root of 55748100 is about 7466.4650270392. The cubic root of 55748100 is about 382.0117226376.

The spelling of 55748100 in words is "fifty-five million, seven hundred forty-eight thousand, one hundred".