55100400 has 240 divisors, whose sum is σ = 194567904. Its totient is φ = 13271040.

The previous prime is 55100393. The next prime is 55100407. The reversal of 55100400 is 400155.

It is an interprime number because it is at equal distance from previous prime (55100393) and next prime (55100407).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 55100400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55100407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 754764 + ... + 754836.

Almost surely, 2^55100400 is an apocalyptic number.

55100400 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 55100400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97283952).

55100400 is an abundant number, since it is smaller than the sum of its proper divisors (139467504).

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

55100400 is a wasteful number, since it uses less digits than its factorization.

55100400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 55100400 is about 7422.9643674209. The cubic root of 55100400 is about 380.5265093082.

Adding to 55100400 its reverse (400155), we get a palindrome (55500555).

The spelling of 55100400 in words is "fifty-five million, one hundred thousand, four hundred".