102145680 has 240 divisors, whose sum is σ = 422472960. Its totient is φ = 21537792.

The previous prime is 102145663. The next prime is 102145699. The reversal of 102145680 is 86541201.

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, 64741 + ... + 66299.

It is an arithmetic number, because the mean of its divisors is an integer number (1760304).

Almost surely, 2^102145680 is an apocalyptic number.

102145680 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 102145680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211236480).

102145680 is an abundant number, since it is smaller than the sum of its proper divisors (320327280).

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

102145680 is a wasteful number, since it uses less digits than its factorization.

102145680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1598 (or 1589 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 102145680 is about 10106.7145997104. The cubic root of 102145680 is about 467.4552065140.

Adding to 102145680 its reverse (86541201), we get a palindrome (188686881).

The spelling of 102145680 in words is "one hundred two million, one hundred forty-five thousand, six hundred eighty".