102513264 has 160 divisors (see below), whose sum is σ = 325264896. Its totient is φ = 27156480.

The previous prime is 102513263. The next prime is 102513317. The reversal of 102513264 is 462315201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102513263) 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, 748204 + ... + 748340.

Almost surely, 2^102513264 is an apocalyptic number.

102513264 is a gapful number since it is divisible by the number (14) 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 102513264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162632448).

102513264 is an abundant number, since it is smaller than the sum of its proper divisors (222751632).

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

102513264 is a wasteful number, since it uses less digits than its factorization.

102513264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 102513264 is about 10124.8834067361. The cubic root of 102513264 is about 468.0152672352.

Adding to 102513264 its reverse (462315201), we get a palindrome (564828465).

The spelling of 102513264 in words is "one hundred two million, five hundred thirteen thousand, two hundred sixty-four".