10520400 has 120 divisors (see below), whose sum is σ = 36810144. Its totient is φ = 2547200.

The previous prime is 10520383. The next prime is 10520401. The reversal of 10520400 is 402501.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×10520400² = 221357632320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10520401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12802 + ... + 13598.

Almost surely, 2^10520400 is an apocalyptic number.

10520400 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 10520400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18405072).

10520400 is an abundant number, since it is smaller than the sum of its proper divisors (26289744).

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

10520400 is a wasteful number, since it uses less digits than its factorization.

10520400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 10520400 is about 3243.5166101008. The cubic root of 10520400 is about 219.1176782533.

Adding to 10520400 its reverse (402501), we get a palindrome (10922901).

The spelling of 10520400 in words is "ten million, five hundred twenty thousand, four hundred".