100406456557 has 16 divisors (see below), whose sum is σ = 109883122560. Its totient is φ = 90988134400.

The previous prime is 100406456497. The next prime is 100406456587. The reversal of 100406456557 is 755654604001.

It is a cyclic number.

It is not a de Polignac number, because 100406456557 - 2¹¹ = 100406454509 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100406456587) 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 15 ways as a sum of consecutive naturals, for example, 18450957 + ... + 18456397.

It is an arithmetic number, because the mean of its divisors is an integer number (6867695160).

Almost surely, 2^100406456557 is an apocalyptic number.

It is an amenable number.

100406456557 is a deficient number, since it is larger than the sum of its proper divisors (9476666003).

100406456557 is a wasteful number, since it uses less digits than its factorization.

100406456557 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10484.

The product of its (nonzero) digits is 504000, while the sum is 43.

The spelling of 100406456557 in words is "one hundred billion, four hundred six million, four hundred fifty-six thousand, five hundred fifty-seven".