102661527 has 16 divisors (see below), whose sum is σ = 140590080. Its totient is φ = 66612000.

The previous prime is 102661459. The next prime is 102661529. The reversal of 102661527 is 725166201.

It is not a de Polignac number, because 102661527 - 2¹⁵ = 102628759 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102661494 and 102661503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102661529) 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 15 ways as a sum of consecutive naturals, for example, 13777 + ... + 19877.

It is an arithmetic number, because the mean of its divisors is an integer number (8786880).

Almost surely, 2^102661527 is an apocalyptic number.

102661527 is a deficient number, since it is larger than the sum of its proper divisors (37928553).

102661527 is an equidigital number, since it uses as much as digits as its factorization.

102661527 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6254.

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 102661527 is about 10132.2024752765. The cubic root of 102661527 is about 468.2407857666.

The spelling of 102661527 in words is "one hundred two million, six hundred sixty-one thousand, five hundred twenty-seven".