100135987523 has 32 divisors (see below), whose sum is σ = 123165584640. Its totient is φ = 80154829440.

The previous prime is 100135987477. The next prime is 100135987537. The reversal of 100135987523 is 325789531001.

It is a cyclic number.

It is not a de Polignac number, because 100135987523 - 2¹² = 100135983427 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100135987583) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 198740 + ... + 489662.

It is an arithmetic number, because the mean of its divisors is an integer number (3848924520).

Almost surely, 2^100135987523 is an apocalyptic number.

100135987523 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

100135987523 is a deficient number, since it is larger than the sum of its proper divisors (23029597117).

100135987523 is a wasteful number, since it uses less digits than its factorization.

100135987523 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291059.

The product of its (nonzero) digits is 226800, while the sum is 44.

The spelling of 100135987523 in words is "one hundred billion, one hundred thirty-five million, nine hundred eighty-seven thousand, five hundred twenty-three".