103312620 has 72 divisors (see below), whose sum is σ = 321048000. Its totient is φ = 26876160.

The previous prime is 103312613. The next prime is 103312637. The reversal of 103312620 is 26213301.

103312620 is a `hidden beast` number, since 1 + 0 + 33 + 12 + 620 = 666.

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 = 103312593 and 103312602.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 381 + ... + 14379.

It is an arithmetic number, because the mean of its divisors is an integer number (4459000).

Almost surely, 2^103312620 is an apocalyptic number.

103312620 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 103312620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160524000).

103312620 is an abundant number, since it is smaller than the sum of its proper divisors (217735380).

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

103312620 is a wasteful number, since it uses less digits than its factorization.

103312620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14055 (or 14050 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 103312620 is about 10164.2815781540. The cubic root of 103312620 is about 469.2285821465.

Adding to 103312620 its reverse (26213301), we get a palindrome (129525921).

The spelling of 103312620 in words is "one hundred three million, three hundred twelve thousand, six hundred twenty".