102496368 has 80 divisors (see below), whose sum is σ = 288731520. Its totient is φ = 31141632.

The previous prime is 102496367. The next prime is 102496369. The reversal of 102496368 is 863694201.

It is an interprime number because it is at equal distance from previous prime (102496367) and next prime (102496369).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102496367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50803 + ... + 52781.

It is an arithmetic number, because the mean of its divisors is an integer number (3609144).

Almost surely, 2^102496368 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 102496368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144365760).

102496368 is an abundant number, since it is smaller than the sum of its proper divisors (186235152).

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

102496368 is a wasteful number, since it uses less digits than its factorization.

102496368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2086 (or 2080 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 102496368 is about 10124.0489923745. The cubic root of 102496368 is about 467.9895534230.

The spelling of 102496368 in words is "one hundred two million, four hundred ninety-six thousand, three hundred sixty-eight".