102388416 has 224 divisors, whose sum is σ = 327720960. Its totient is φ = 27869184.

The previous prime is 102388411. The next prime is 102388417. The reversal of 102388416 is 614883201.

It is not an unprimeable number, because it can be changed into a prime (102388411) 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, 806145 + ... + 806271.

It is an arithmetic number, because the mean of its divisors is an integer number (1463040).

Almost surely, 2^102388416 is an apocalyptic number.

102388416 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 102388416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163860480).

102388416 is an abundant number, since it is smaller than the sum of its proper divisors (225332544).

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

102388416 is a wasteful number, since it uses less digits than its factorization.

102388416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 102388416 is about 10118.7161240940. The cubic root of 102388416 is about 467.8251958751.

The spelling of 102388416 in words is "one hundred two million, three hundred eighty-eight thousand, four hundred sixteen".