102661504 has 64 divisors (see below), whose sum is σ = 236293200. Its totient is φ = 43909120.

The previous prime is 102661459. The next prime is 102661529. The reversal of 102661504 is 405166201.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 21792 + ... + 26080.

Almost surely, 2^102661504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102661504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118146600).

102661504 is an abundant number, since it is smaller than the sum of its proper divisors (133631696).

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

102661504 is a wasteful number, since it uses less digits than its factorization.

102661504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4331 (or 4319 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 102661504 is about 10132.2013402814. The cubic root of 102661504 is about 468.2407507988.

The spelling of 102661504 in words is "one hundred two million, six hundred sixty-one thousand, five hundred four".