103981620 has 96 divisors (see below), whose sum is σ = 306432000. Its totient is φ = 26294400.

The previous prime is 103981613. The next prime is 103981627. The reversal of 103981620 is 26189301.

It is an interprime number because it is at equal distance from previous prime (103981613) and next prime (103981627).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103981627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208131 + ... + 208629.

It is an arithmetic number, because the mean of its divisors is an integer number (3192000).

Almost surely, 2^103981620 is an apocalyptic number.

103981620 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 103981620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153216000).

103981620 is an abundant number, since it is smaller than the sum of its proper divisors (202450380).

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

103981620 is a wasteful number, since it uses less digits than its factorization.

103981620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 103981620 is about 10197.1378337257. The cubic root of 103981620 is about 470.2392323661.

The spelling of 103981620 in words is "one hundred three million, nine hundred eighty-one thousand, six hundred twenty".