102100075 has 36 divisors (see below), whose sum is σ = 160683912. Its totient is φ = 63638400.

The previous prime is 102100073. The next prime is 102100093. The reversal of 102100075 is 570001201.

It is not a de Polignac number, because 102100075 - 2¹ = 102100073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102100073) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9687 + ... + 17263.

It is an arithmetic number, because the mean of its divisors is an integer number (4463442).

Almost surely, 2^102100075 is an apocalyptic number.

102100075 is a deficient number, since it is larger than the sum of its proper divisors (58583837).

102100075 is a wasteful number, since it uses less digits than its factorization.

102100075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7612 (or 7600 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 16.

The square root of 102100075 is about 10104.4581744891. The cubic root of 102100075 is about 467.3856278882.

Adding to 102100075 its reverse (570001201), we get a palindrome (672101276).

The spelling of 102100075 in words is "one hundred two million, one hundred thousand, seventy-five".