100377662137 has 8 divisors (see below), whose sum is σ = 106301984256. Its totient is φ = 94455534912.

The previous prime is 100377662111. The next prime is 100377662141. The reversal of 100377662137 is 731266773001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 100377662137 - 2¹⁵ = 100377629369 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100377662093 and 100377662102.

It is not an unprimeable number, because it can be changed into a prime (100377662197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 454093 + ... + 637930.

It is an arithmetic number, because the mean of its divisors is an integer number (13287748032).

Almost surely, 2^100377662137 is an apocalyptic number.

100377662137 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

100377662137 is a deficient number, since it is larger than the sum of its proper divisors (5924322119).

100377662137 is a wasteful number, since it uses less digits than its factorization.

100377662137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097447.

The product of its (nonzero) digits is 222264, while the sum is 43.

The spelling of 100377662137 in words is "one hundred billion, three hundred seventy-seven million, six hundred sixty-two thousand, one hundred thirty-seven".