103193120 has 96 divisors (see below), whose sum is σ = 255068352. Its totient is φ = 39416832.

The previous prime is 103193119. The next prime is 103193149. The reversal of 103193120 is 21391301.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 103193092 and 103193101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 364499 + ... + 364781.

It is an arithmetic number, because the mean of its divisors is an integer number (2656962).

Almost surely, 2^103193120 is an apocalyptic number.

103193120 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 103193120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127534176).

103193120 is an abundant number, since it is smaller than the sum of its proper divisors (151875232).

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

103193120 is a wasteful number, since it uses less digits than its factorization.

103193120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 20.

The square root of 103193120 is about 10158.4014490470. The cubic root of 103193120 is about 469.0475960322.

The spelling of 103193120 in words is "one hundred three million, one hundred ninety-three thousand, one hundred twenty".