54377576100 has 135 divisors (see below), whose sum is σ = 176338677361. Its totient is φ = 14495090400.

The previous prime is 54377576093. The next prime is 54377576101. The reversal of 54377576100 is 167577345.

The square root of 54377576100 is 233190.

It is a perfect power (a square), and thus also a powerful number.

54377576100 is a `hidden beast` number, since 5 + 4 + 3 + 77 + 576 + 1 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19575927396 + 34801648704 = 139914^2 + 186552^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a super-2 number, since 2×54377576100² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (54377576101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 20985805 + ... + 20988395.

Almost surely, 2^54377576100 is an apocalyptic number.

54377576100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

54377576100 is the 233190-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54377576100

54377576100 is an abundant number, since it is smaller than the sum of its proper divisors (121961101261).

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

54377576100 is an equidigital number, since it uses as much as digits as its factorization.

54377576100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5208 (or 2601 counting only the distinct ones).

The product of its (nonzero) digits is 617400, while the sum is 45.

The spelling of 54377576100 in words is "fifty-four billion, three hundred seventy-seven million, five hundred seventy-six thousand, one hundred".