102113310 has 64 divisors (see below), whose sum is σ = 266499072. Its totient is φ = 24890496.

The previous prime is 102113299. The next prime is 102113311. The reversal of 102113310 is 13311201.

It is a super-2 number, since 2×102113310² = 20854256158312200, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102113311) 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, 40507 + ... + 42953.

It is an arithmetic number, because the mean of its divisors is an integer number (4164048).

Almost surely, 2^102113310 is an apocalyptic number.

102113310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102113310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133249536).

102113310 is an abundant number, since it is smaller than the sum of its proper divisors (164385762).

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

102113310 is a wasteful number, since it uses less digits than its factorization.

102113310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2577.

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 102113310 is about 10105.1130622077. The cubic root of 102113310 is about 467.4058223935.

Adding to 102113310 its reverse (13311201), we get a palindrome (115424511).

The spelling of 102113310 in words is "one hundred two million, one hundred thirteen thousand, three hundred ten".