102257316 has 216 divisors, whose sum is σ = 331138080. Its totient is φ = 27433728.

The previous prime is 102257291. The next prime is 102257327. The reversal of 102257316 is 613752201.

It is a happy number.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 102257316.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 904876 + ... + 904988.

Almost surely, 2^102257316 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 102257316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165569040).

102257316 is an abundant number, since it is smaller than the sum of its proper divisors (228880764).

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

102257316 is a wasteful number, since it uses less digits than its factorization.

102257316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 102257316 is about 10112.2359545256. The cubic root of 102257316 is about 467.6254399488.

The spelling of 102257316 in words is "one hundred two million, two hundred fifty-seven thousand, three hundred sixteen".