102396624 has 160 divisors (see below), whose sum is σ = 310694400. Its totient is φ = 28730880.

The previous prime is 102396611. The next prime is 102396629. The reversal of 102396624 is 426693201.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102396629) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 591802 + ... + 591974.

It is an arithmetic number, because the mean of its divisors is an integer number (1941840).

Almost surely, 2^102396624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102396624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155347200).

102396624 is an abundant number, since it is smaller than the sum of its proper divisors (208297776).

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

102396624 is a wasteful number, since it uses less digits than its factorization.

102396624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 102396624 is about 10119.1217010173. The cubic root of 102396624 is about 467.8376966597.

The spelling of 102396624 in words is "one hundred two million, three hundred ninety-six thousand, six hundred twenty-four".