10507950 has 72 divisors (see below), whose sum is σ = 29741400. Its totient is φ = 2652480.

The previous prime is 10507943. The next prime is 10507951. The reversal of 10507950 is 5970501.

It is a super-2 number, since 2×10507950² = 220834026405000, which contains 22 as substring.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10507951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7936 + ... + 9164.

It is an arithmetic number, because the mean of its divisors is an integer number (413075).

Almost surely, 2^10507950 is an apocalyptic number.

10507950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10507950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14870700).

10507950 is an abundant number, since it is smaller than the sum of its proper divisors (19233450).

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

10507950 is a wasteful number, since it uses less digits than its factorization.

10507950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 1575, while the sum is 27.

The square root of 10507950 is about 3241.5968287250. The cubic root of 10507950 is about 219.0312084129.

The spelling of 10507950 in words is "ten million, five hundred seven thousand, nine hundred fifty".