10507500 has 90 divisors (see below), whose sum is σ = 33261228. Its totient is φ = 2796000.

The previous prime is 10507493. The next prime is 10507529. The reversal of 10507500 is 570501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×10507500² = 220815112500000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 22267 + ... + 22733.

It is a vampire number, since it can be written as 1500 ⋅ 7005 (with its own digits).

Almost surely, 2^10507500 is an apocalyptic number.

10507500 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 10507500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16630614).

10507500 is an abundant number, since it is smaller than the sum of its proper divisors (22753728).

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

10507500 is a wasteful number, since it uses less digits than its factorization.

10507500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 175, while the sum is 18.

The square root of 10507500 is about 3241.5274177461. The cubic root of 10507500 is about 219.0280817183.

The spelling of 10507500 in words is "ten million, five hundred seven thousand, five hundred".