103315120 has 40 divisors (see below), whose sum is σ = 254340864. Its totient is φ = 38894592.

The previous prime is 103315117. The next prime is 103315123. The reversal of 103315120 is 21513301.

It is an interprime number because it is at equal distance from previous prime (103315117) and next prime (103315123).

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×103315120² = 21348028041228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 103315094 and 103315103.

It is not an unprimeable number, because it can be changed into a prime (103315123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36624 + ... + 39343.

Almost surely, 2^103315120 is an apocalyptic number.

103315120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103315120 is an abundant number, since it is smaller than the sum of its proper divisors (151025744).

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

103315120 is a wasteful number, since it uses less digits than its factorization.

103315120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75997 (or 75991 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 103315120 is about 10164.4045570806. The cubic root of 103315120 is about 469.2323669761.

Adding to 103315120 its reverse (21513301), we get a palindrome (124828421).

It can be divided in two parts, 10331 and 5120, that added together give a palindrome (15451).

The spelling of 103315120 in words is "one hundred three million, three hundred fifteen thousand, one hundred twenty".