54906400100 has 18 divisors (see below), whose sum is σ = 119146888434. Its totient is φ = 21962560000.

The previous prime is 54906400079. The next prime is 54906400121. The reversal of 54906400100 is 100460945.

It is an interprime number because it is at equal distance from previous prime (54906400079) and next prime (54906400121).

It can be written as a sum of positive squares in 3 ways, for example, as 12413525056 + 42492875044 = 111416^2 + 206138^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 274531901 + ... + 274532100.

Almost surely, 2^54906400100 is an apocalyptic number.

54906400100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54906400100 is an abundant number, since it is smaller than the sum of its proper divisors (64240488334).

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

54906400100 is a wasteful number, since it uses less digits than its factorization.

54906400100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549064015 (or 549064008 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The spelling of 54906400100 in words is "fifty-four billion, nine hundred six million, four hundred thousand, one hundred".