102349680 has 80 divisors (see below), whose sum is σ = 319027200. Its totient is φ = 27143424.

The previous prime is 102349679. The next prime is 102349697. The reversal of 102349680 is 86943201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×102349680² = 20950913992204800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46689 + ... + 48831.

It is an arithmetic number, because the mean of its divisors is an integer number (3987840).

Almost surely, 2^102349680 is an apocalyptic number.

102349680 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 102349680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159513600).

102349680 is an abundant number, since it is smaller than the sum of its proper divisors (216677520).

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

102349680 is a wasteful number, since it uses less digits than its factorization.

102349680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2358 (or 2352 counting only the distinct ones).

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

The square root of 102349680 is about 10116.8018662026. The cubic root of 102349680 is about 467.7661919263.

The spelling of 102349680 in words is "one hundred two million, three hundred forty-nine thousand, six hundred eighty".