55106400 has 72 divisors (see below), whose sum is σ = 179379144. Its totient is φ = 14694400.

The previous prime is 55106383. The next prime is 55106407. The reversal of 55106400 is 460155.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55106407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9081 + ... + 13880.

It is an arithmetic number, because the mean of its divisors is an integer number (2491377).

Almost surely, 2^55106400 is an apocalyptic number.

55106400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

55106400 is an abundant number, since it is smaller than the sum of its proper divisors (124272744).

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

55106400 is a wasteful number, since it uses less digits than its factorization.

55106400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22984 (or 22971 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 55106400 is about 7423.3685076251. The cubic root of 55106400 is about 380.5403209211.

Adding to 55106400 its reverse (460155), we get a palindrome (55566555).

The spelling of 55106400 in words is "fifty-five million, one hundred six thousand, four hundred".