10507400 has 48 divisors (see below), whose sum is σ = 24708240. Its totient is φ = 4155200.

The previous prime is 10507397. The next prime is 10507417. The reversal of 10507400 is 470501.

It is a happy number.

It is a super-2 number, since 2×10507400² = 220810909520000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21155 + ... + 21645.

It is an arithmetic number, because the mean of its divisors is an integer number (514755).

Almost surely, 2^10507400 is an apocalyptic number.

10507400 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 10507400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12354120).

10507400 is an abundant number, since it is smaller than the sum of its proper divisors (14200840).

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

10507400 is a wasteful number, since it uses less digits than its factorization.

10507400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 17.

The square root of 10507400 is about 3241.5119928823. The cubic root of 10507400 is about 219.0273868852.

Adding to 10507400 its reverse (470501), we get a palindrome (10977901).

The spelling of 10507400 in words is "ten million, five hundred seven thousand, four hundred".