102875499275536 has 45 divisors (see below), whose sum is σ = 215834208386799. Its totient is φ = 47480756239488.

The previous prime is 102875499275513. The next prime is 102875499275599. The reversal of 102875499275536 is 635572994578201.

It is a happy number.

The square root of 102875499275536 is 10142756.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 55525686821136 + 47349812454400 = 7451556^2 + 6881120^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 527325786 + ... + 527520838.

It is a 1-persistent number, because it is pandigital, but 2⋅102875499275536 = 205750998551072 is not.

Almost surely, 2^{102875499275536} is an apocalyptic number.

102875499275536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

102875499275536 is the 10142756-th square number.

It is an amenable number.

102875499275536 is an abundant number, since it is smaller than the sum of its proper divisors (112958709111263).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102875499275536 is an frugal number, since it uses more digits than its factorization.

102875499275536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390140 (or 195068 counting only the distinct ones).

The product of its (nonzero) digits is 1143072000, while the sum is 73.

The spelling of 102875499275536 in words is "one hundred two trillion, eight hundred seventy-five billion, four hundred ninety-nine million, two hundred seventy-five thousand, five hundred thirty-six".