102585616 has 120 divisors (see below), whose sum is σ = 251903520. Its totient is φ = 40190976.

The previous prime is 102585607. The next prime is 102585641. The reversal of 102585616 is 616585201.

It is a happy number.

It is a super-2 number, since 2×102585616² = 21047617220198912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 573015 + ... + 573193.

It is an arithmetic number, because the mean of its divisors is an integer number (2099196).

Almost surely, 2^102585616 is an apocalyptic number.

102585616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

102585616 is the 5848-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102585616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125951760).

102585616 is an abundant number, since it is smaller than the sum of its proper divisors (149317904).

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

102585616 is a wasteful number, since it uses less digits than its factorization.

102585616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 34.

The square root of 102585616 is about 10128.4557559383. The cubic root of 102585616 is about 468.1253469005.

The spelling of 102585616 in words is "one hundred two million, five hundred eighty-five thousand, six hundred sixteen".