55400100 has 288 divisors, whose sum is σ = 202653696. Its totient is φ = 11404800.

The previous prime is 55400099. The next prime is 55400117. The reversal of 55400100 is 100455.

55400100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 55400100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1497282 + ... + 1497318.

Almost surely, 2^55400100 is an apocalyptic number.

55400100 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 55400100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101326848).

55400100 is an abundant number, since it is smaller than the sum of its proper divisors (147253596).

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

55400100 is a wasteful number, since it uses less digits than its factorization.

55400100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 108 counting only the distinct ones).

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

The square root of 55400100 is about 7443.1243439835. The cubic root of 55400100 is about 381.2151773265.

Adding to 55400100 its reverse (100455), we get a palindrome (55500555).

The spelling of 55400100 in words is "fifty-five million, four hundred thousand, one hundred".