103159920 has 80 divisors (see below), whose sum is σ = 321363360. Its totient is φ = 27374592.

The previous prime is 103159913. The next prime is 103159921. The reversal of 103159920 is 29951301.

It is a tau number, because it is divible by the number of its divisors (80).

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 (103159921) 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, 54022 + ... + 55898.

It is an arithmetic number, because the mean of its divisors is an integer number (4017042).

Almost surely, 2^103159920 is an apocalyptic number.

103159920 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 103159920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160681680).

103159920 is an abundant number, since it is smaller than the sum of its proper divisors (218203440).

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

103159920 is a wasteful number, since it uses less digits than its factorization.

103159920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2122 (or 2116 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 30.

The square root of 103159920 is about 10156.7672022155. The cubic root of 103159920 is about 468.9972888977.

The spelling of 103159920 in words is "one hundred three million, one hundred fifty-nine thousand, nine hundred twenty".