102513420 has 72 divisors (see below), whose sum is σ = 312333840. Its totient is φ = 27216000.

The previous prime is 102513409. The next prime is 102513443. The reversal of 102513420 is 24315201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102513393 and 102513402.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44046 + ... + 46314.

It is an arithmetic number, because the mean of its divisors is an integer number (4337970).

Almost surely, 2^102513420 is an apocalyptic number.

102513420 is a gapful number since it is divisible by the number (10) 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 102513420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156166920).

102513420 is an abundant number, since it is smaller than the sum of its proper divisors (209820420).

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

102513420 is a wasteful number, since it uses less digits than its factorization.

102513420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2535 (or 2530 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 102513420 is about 10124.8911105256. The cubic root of 102513420 is about 468.0155046365.

Adding to 102513420 its reverse (24315201), we get a palindrome (126828621).

The spelling of 102513420 in words is "one hundred two million, five hundred thirteen thousand, four hundred twenty".