102396960 has 120 divisors (see below), whose sum is σ = 361421676. Its totient is φ = 27302400.

The previous prime is 102396953. The next prime is 102396961. The reversal of 102396960 is 69693201.

It can be written as a sum of positive squares in 2 ways, for example, as 102333456 + 63504 = 10116^2 + 252^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (102396961) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9010 + ... + 16910.

Almost surely, 2^102396960 is an apocalyptic number.

102396960 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 102396960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180710838).

102396960 is an abundant number, since it is smaller than the sum of its proper divisors (259024716).

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

102396960 is an equidigital number, since it uses as much as digits as its factorization.

102396960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7928 (or 7911 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 102396960 is about 10119.1383032351. The cubic root of 102396960 is about 467.8382083735.

The spelling of 102396960 in words is "one hundred two million, three hundred ninety-six thousand, nine hundred sixty".