10500400 has 30 divisors (see below), whose sum is σ = 25228172. Its totient is φ = 4200000.

The previous prime is 10500379. The next prime is 10500421. The reversal of 10500400 is 400501.

It is an interprime number because it is at equal distance from previous prime (10500379) and next prime (10500421).

It is a super-2 number, since 2×10500400² = 220516800320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12726 + ... + 13525.

Almost surely, 2^10500400 is an apocalyptic number.

10500400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10500400 is an abundant number, since it is smaller than the sum of its proper divisors (14727772).

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

10500400 is a wasteful number, since it uses less digits than its factorization.

10500400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26269 (or 26258 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 10500400 is about 3240.4320699561. The cubic root of 10500400 is about 218.9787376062.

Adding to 10500400 its reverse (400501), we get a palindrome (10900901).

The spelling of 10500400 in words is "ten million, five hundred thousand, four hundred".