10215400 has 48 divisors (see below), whose sum is σ = 25584300. Its totient is φ = 3770880.

The previous prime is 10215389. The next prime is 10215421. The reversal of 10215400 is 451201.

It can be written as a sum of positive squares in 6 ways, for example, as 617796 + 9597604 = 786^2 + 3098^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 636 + ... + 4564.

Almost surely, 2^10215400 is an apocalyptic number.

10215400 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 10215400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12792150).

10215400 is an abundant number, since it is smaller than the sum of its proper divisors (15368900).

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

10215400 is a wasteful number, since it uses less digits than its factorization.

10215400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3958 (or 3949 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 10215400 is about 3196.1539387207. The cubic root of 10215400 is about 216.9793775131.

Adding to 10215400 its reverse (451201), we get a palindrome (10666601).

The spelling of 10215400 in words is "ten million, two hundred fifteen thousand, four hundred".