102513376 has 96 divisors (see below), whose sum is σ = 244823040. Its totient is φ = 41319936.

The previous prime is 102513319. The next prime is 102513377. The reversal of 102513376 is 673315201.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102513377) 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, 279145 + ... + 279511.

It is an arithmetic number, because the mean of its divisors is an integer number (2550240).

Almost surely, 2^102513376 is an apocalyptic number.

102513376 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 102513376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122411520).

102513376 is an abundant number, since it is smaller than the sum of its proper divisors (142309664).

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

102513376 is a wasteful number, since it uses less digits than its factorization.

102513376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 102513376 is about 10124.8889376625. Note that the first 3 decimals coincide. The cubic root of 102513376 is about 468.0154376771.

Adding to 102513376 its reverse (673315201), we get a palindrome (775828577).

The spelling of 102513376 in words is "one hundred two million, five hundred thirteen thousand, three hundred seventy-six".