10507120 has 40 divisors (see below), whose sum is σ = 26310816. Its totient is φ = 3879168.

The previous prime is 10507103. The next prime is 10507151. The reversal of 10507120 is 2170501.

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

It is a super-2 number, since 2×10507120² = 220799141388800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (16) coincides with the sum of the digits of its distinct prime factors.

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 = 10507094 and 10507103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4012 + ... + 6091.

Almost surely, 2^10507120 is an apocalyptic number.

10507120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10507120 is an abundant number, since it is smaller than the sum of its proper divisors (15803696).

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

10507120 is a wasteful number, since it uses less digits than its factorization.

10507120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10129 (or 10123 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 16.

The square root of 10507120 is about 3241.4688028732. The cubic root of 10507120 is about 219.0254413289.

Adding to 10507120 its reverse (2170501), we get a palindrome (12677621).

The spelling of 10507120 in words is "ten million, five hundred seven thousand, one hundred twenty".