102113620 has 48 divisors (see below), whose sum is σ = 248548608. Its totient is φ = 34513920.

The previous prime is 102113603. The next prime is 102113621. The reversal of 102113620 is 26311201.

It is a junction number, because it is equal to n+sod(n) for n = 102113594 and 102113603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102113621) 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, 4804 + ... + 15076.

It is an arithmetic number, because the mean of its divisors is an integer number (5178096).

Almost surely, 2^102113620 is an apocalyptic number.

102113620 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 102113620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124274304).

102113620 is an abundant number, since it is smaller than the sum of its proper divisors (146434988).

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

102113620 is a wasteful number, since it uses less digits than its factorization.

102113620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10360 (or 10358 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 102113620 is about 10105.1284009655. The cubic root of 102113620 is about 467.4062953833.

Adding to 102113620 its reverse (26311201), we get a palindrome (128424821).

It can be divided in two parts, 10211 and 3620, that added together give a palindrome (13831).

The spelling of 102113620 in words is "one hundred two million, one hundred thirteen thousand, six hundred twenty".