102605616 has 100 divisors (see below), whose sum is σ = 304371144. Its totient is φ = 33350400.

The previous prime is 102605603. The next prime is 102605621. The reversal of 102605616 is 616506201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 102605616.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 52171 + ... + 54101.

Almost surely, 2^102605616 is an apocalyptic number.

102605616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102605616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152185572).

102605616 is an abundant number, since it is smaller than the sum of its proper divisors (201765528).

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

102605616 is a wasteful number, since it uses less digits than its factorization.

102605616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1992 (or 1977 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 102605616 is about 10129.4430251618. The cubic root of 102605616 is about 468.1557666901.

It can be divided in two parts, 10260 and 5616, that added together give a square (15876 = 126²).

The spelling of 102605616 in words is "one hundred two million, six hundred five thousand, six hundred sixteen".