102349056 has 72 divisors (see below), whose sum is σ = 276381504. Its totient is φ = 33617920.

The previous prime is 102349019. The next prime is 102349063. The reversal of 102349056 is 650943201.

It is a super-2 number, since 2×102349056² = 20950658528182272, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53590 + ... + 55466.

It is an arithmetic number, because the mean of its divisors is an integer number (3838632).

Almost surely, 2^102349056 is an apocalyptic number.

102349056 is a gapful number since it is divisible by the number (16) 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 102349056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138190752).

102349056 is an abundant number, since it is smaller than the sum of its proper divisors (174032448).

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

102349056 is an equidigital number, since it uses as much as digits as its factorization.

102349056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1967 (or 1953 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 102349056 is about 10116.7710263700. The cubic root of 102349056 is about 467.7652413072.

The spelling of 102349056 in words is "one hundred two million, three hundred forty-nine thousand, fifty-six".