102613680 has 240 divisors, whose sum is σ = 391329120. Its totient is φ = 23887872.

The previous prime is 102613669. The next prime is 102613727. The reversal of 102613680 is 86316201.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 177552 + ... + 178128.

It is an arithmetic number, because the mean of its divisors is an integer number (1630538).

Almost surely, 2^102613680 is an apocalyptic number.

102613680 is a gapful number since it is divisible by the number (10) 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 102613680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195664560).

102613680 is an abundant number, since it is smaller than the sum of its proper divisors (288715440).

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

102613680 is a wasteful number, since it uses less digits than its factorization.

102613680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 102613680 is about 10129.8410648934. The cubic root of 102613680 is about 468.1680308310.

Adding to 102613680 its reverse (86316201), we get a palindrome (188929881).

It can be divided in two parts, 1026 and 13680, that added together give a triangular number (14706 = T₁₇₁).

The spelling of 102613680 in words is "one hundred two million, six hundred thirteen thousand, six hundred eighty".