100638513535 has 128 divisors (see below), whose sum is σ = 150543360000. Its totient is φ = 64422521856.

The previous prime is 100638513529. The next prime is 100638513539. The reversal of 100638513535 is 535315836001.

It is not a de Polignac number, because 100638513535 - 2¹⁷ = 100638382463 is a prime.

It is a super-2 number, since 2×100638513535² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100638513539) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 382655814 + ... + 382656076.

It is an arithmetic number, because the mean of its divisors is an integer number (1176120000).

Almost surely, 2^100638513535 is an apocalyptic number.

100638513535 is a deficient number, since it is larger than the sum of its proper divisors (49904846465).

100638513535 is a wasteful number, since it uses less digits than its factorization.

100638513535 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 40.

The spelling of 100638513535 in words is "one hundred billion, six hundred thirty-eight million, five hundred thirteen thousand, five hundred thirty-five".