102393456 has 80 divisors (see below), whose sum is σ = 294088320. Its totient is φ = 30434560.

The previous prime is 102393437. The next prime is 102393469. The reversal of 102393456 is 654393201.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 26155 + ... + 29813.

It is an arithmetic number, because the mean of its divisors is an integer number (3676104).

Almost surely, 2^102393456 is an apocalyptic number.

102393456 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 102393456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147044160).

102393456 is an abundant number, since it is smaller than the sum of its proper divisors (191694864).

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

102393456 is a wasteful number, since it uses less digits than its factorization.

102393456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3734 (or 3728 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 102393456 is about 10118.9651644820. The cubic root of 102393456 is about 467.8328718746.

It can be divided in two parts, 10239 and 3456, that added together give a triangular number (13695 = T₁₆₅).

The spelling of 102393456 in words is "one hundred two million, three hundred ninety-three thousand, four hundred fifty-six".