102126188535 has 96 divisors (see below), whose sum is σ = 198733232640. Its totient is φ = 43860953088.

The previous prime is 102126188513. The next prime is 102126188573. The reversal of 102126188535 is 535881621201.

It is not a de Polignac number, because 102126188535 - 2¹⁵ = 102126155767 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18780837 + ... + 18786273.

It is an arithmetic number, because the mean of its divisors is an integer number (2070137840).

Almost surely, 2^102126188535 is an apocalyptic number.

102126188535 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

102126188535 is a deficient number, since it is larger than the sum of its proper divisors (96607044105).

102126188535 is a wasteful number, since it uses less digits than its factorization.

102126188535 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6105 (or 6088 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 42.

The spelling of 102126188535 in words is "one hundred two billion, one hundred twenty-six million, one hundred eighty-eight thousand, five hundred thirty-five".