55040100 has 72 divisors (see below), whose sum is σ = 160073088. Its totient is φ = 14601600.

The previous prime is 55040087. The next prime is 55040107. The reversal of 55040100 is 104055.

55040100 is digitally balanced in base 2 and base 9, because in such bases 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).

55040100 is strictly pandigital in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 55040100.

It is not an unprimeable number, because it can be changed into a prime (55040107) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 80962 + ... + 81638.

Almost surely, 2^55040100 is an apocalyptic number.

55040100 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 55040100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80036544).

55040100 is an abundant number, since it is smaller than the sum of its proper divisors (105032988).

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

55040100 is a wasteful number, since it uses less digits than its factorization.

55040100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965 (or 958 counting only the distinct ones).

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

The square root of 55040100 is about 7418.9015359418. The cubic root of 55040100 is about 380.3876468925.

Adding to 55040100 its reverse (104055), we get a palindrome (55144155).

The spelling of 55040100 in words is "fifty-five million, forty thousand, one hundred".