103515120 has 120 divisors (see below), whose sum is σ = 351093600. Its totient is φ = 27330048.

The previous prime is 103515101. The next prime is 103515121. The reversal of 103515120 is 21515301.

103515120 is a `hidden beast` number, since 103 + 51 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×103515120² = 21430760137228800, which contains 22 as substring.

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 = 103515093 and 103515102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103515121) by changing a digit.

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, 77821 + ... + 79139.

It is an arithmetic number, because the mean of its divisors is an integer number (2925780).

Almost surely, 2^103515120 is an apocalyptic number.

103515120 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 103515120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175546800).

103515120 is an abundant number, since it is smaller than the sum of its proper divisors (247578480).

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

103515120 is a wasteful number, since it uses less digits than its factorization.

103515120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1447 (or 1438 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 103515120 is about 10174.2380550093. The cubic root of 103515120 is about 469.5349557345.

The spelling of 103515120 in words is "one hundred three million, five hundred fifteen thousand, one hundred twenty".