10402900 has 36 divisors (see below), whose sum is σ = 23560992. Its totient is φ = 3979360.

The previous prime is 10402871. The next prime is 10402907. The reversal of 10402900 is 920401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10402907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39 + ... + 4561.

It is an arithmetic number, because the mean of its divisors is an integer number (654472).

Almost surely, 2^10402900 is an apocalyptic number.

10402900 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 10402900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11780496).

10402900 is an abundant number, since it is smaller than the sum of its proper divisors (13158092).

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

10402900 is a wasteful number, since it uses less digits than its factorization.

10402900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4560 (or 4553 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 10402900 is about 3225.3526938926. The cubic root of 10402900 is about 218.2988634406.

The spelling of 10402900 in words is "ten million, four hundred two thousand, nine hundred".