102348960 has 192 divisors, whose sum is σ = 373911552. Its totient is φ = 23049216.

The previous prime is 102348943. The next prime is 102348971. The reversal of 102348960 is 69843201.

It is a super-2 number, since 2×102348960² = 20950619226163200, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 278697 + ... + 279063.

It is an arithmetic number, because the mean of its divisors is an integer number (1947456).

Almost surely, 2^102348960 is an apocalyptic number.

102348960 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 102348960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186955776).

102348960 is an abundant number, since it is smaller than the sum of its proper divisors (271562592).

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

102348960 is a wasteful number, since it uses less digits than its factorization.

102348960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 102348960 is about 10116.7662817721. The cubic root of 102348960 is about 467.7650950577.

The spelling of 102348960 in words is "one hundred two million, three hundred forty-eight thousand, nine hundred sixty".