102345125 has 16 divisors (see below), whose sum is σ = 128015472. Its totient is φ = 81691200.

The previous prime is 102345107. The next prime is 102345127. The reversal of 102345125 is 521543201.

102345125 = 7153² + 7154².

It can be written as a sum of positive squares in 8 ways, for example, as 30129121 + 72216004 = 5489^2 + 8498^2 .

It is not a de Polignac number, because 102345125 - 2¹⁴ = 102328741 is a prime.

It is a super-2 number, since 2×102345125² = 20949049222531250, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102345125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102345127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91067 + ... + 92183.

It is an arithmetic number, because the mean of its divisors is an integer number (8000967).

Almost surely, 2^102345125 is an apocalyptic number.

102345125 is the 7154-th centered square number.

It is an amenable number.

102345125 is a deficient number, since it is larger than the sum of its proper divisors (25670347).

102345125 is an equidigital number, since it uses as much as digits as its factorization.

102345125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1865 (or 1855 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 102345125 is about 10116.5767431479. The cubic root of 102345125 is about 467.7592526224.

Adding to 102345125 its reverse (521543201), we get a palindrome (623888326).

The spelling of 102345125 in words is "one hundred two million, three hundred forty-five thousand, one hundred twenty-five".