10210400 has 36 divisors (see below), whose sum is σ = 24928092. Its totient is φ = 4083840.

The previous prime is 10210399. The next prime is 10210427. The reversal of 10210400 is 401201.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5582 + ... + 7181.

It is an arithmetic number, because the mean of its divisors is an integer number (692447).

Almost surely, 2^10210400 is an apocalyptic number.

10210400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10210400 is an abundant number, since it is smaller than the sum of its proper divisors (14717692).

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

10210400 is a wasteful number, since it uses less digits than its factorization.

10210400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12783 (or 12770 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 10210400 is about 3195.3716528755. The cubic root of 10210400 is about 216.9439710373.

Adding to 10210400 its reverse (401201), we get a palindrome (10611601).

The spelling of 10210400 in words is "ten million, two hundred ten thousand, four hundred".