100634800057 has 16 divisors (see below), whose sum is σ = 119382930432. Its totient is φ = 83777483520.

The previous prime is 100634800039. The next prime is 100634800061. The reversal of 100634800057 is 750008436001.

It is a cyclic number.

It is not a de Polignac number, because 100634800057 - 2¹¹ = 100634798009 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100634799995 and 100634800031.

It is not an unprimeable number, because it can be changed into a prime (100634800027) 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 15 ways as a sum of consecutive naturals, for example, 7265433 + ... + 7279270.

It is an arithmetic number, because the mean of its divisors is an integer number (7461433152).

Almost surely, 2^100634800057 is an apocalyptic number.

100634800057 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

100634800057 is a deficient number, since it is larger than the sum of its proper divisors (18748130375).

100634800057 is a wasteful number, since it uses less digits than its factorization.

100634800057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14544768.

The product of its (nonzero) digits is 20160, while the sum is 34.

The spelling of 100634800057 in words is "one hundred billion, six hundred thirty-four million, eight hundred thousand, fifty-seven".