10507380 has 96 divisors (see below), whose sum is σ = 33398400. Its totient is φ = 2446848.

The previous prime is 10507373. The next prime is 10507381. The reversal of 10507380 is 8370501.

It is a super-2 number, since 2×10507380² = 220810068928800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10507380.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10507381) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14466 + ... + 15174.

It is an arithmetic number, because the mean of its divisors is an integer number (347900).

Almost surely, 2^10507380 is an apocalyptic number.

10507380 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 10507380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16699200).

10507380 is an abundant number, since it is smaller than the sum of its proper divisors (22891020).

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

10507380 is a wasteful number, since it uses less digits than its factorization.

10507380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 10507380 is about 3241.5089079008. The cubic root of 10507380 is about 219.0272479180.

Adding to 10507380 its reverse (8370501), we get a palindrome (18877881).

The spelling of 10507380 in words is "ten million, five hundred seven thousand, three hundred eighty".