102113109 has 48 divisors (see below), whose sum is σ = 178387200. Its totient is φ = 57552768.

The previous prime is 102113047. The next prime is 102113111. The reversal of 102113109 is 901311201.

It is not a de Polignac number, because 102113109 - 2¹⁷ = 101982037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102113091 and 102113100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102113119) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104029 + ... + 105005.

It is an arithmetic number, because the mean of its divisors is an integer number (3716400).

Almost surely, 2^102113109 is an apocalyptic number.

It is an amenable number.

102113109 is a deficient number, since it is larger than the sum of its proper divisors (76274091).

102113109 is an equidigital number, since it uses as much as digits as its factorization.

102113109 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1079 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

The square root of 102113109 is about 10105.1031167426. The cubic root of 102113109 is about 467.4055157125.

The spelling of 102113109 in words is "one hundred two million, one hundred thirteen thousand, one hundred nine".