10040900 has 72 divisors (see below), whose sum is σ = 23331840. Its totient is φ = 3744000.

The previous prime is 10040881. The next prime is 10040917. The reversal of 10040900 is 904001.

10040900 = T₃₄₁ + T₃₄₂ + ... + T₄₆₃.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127061 + ... + 127139.

Almost surely, 2^10040900 is an apocalyptic number.

10040900 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 10040900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11665920).

10040900 is an abundant number, since it is smaller than the sum of its proper divisors (13290940).

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

10040900 is a wasteful number, since it uses less digits than its factorization.

10040900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 10040900 is about 3168.7379191091. The cubic root of 10040900 is about 215.7367907334.

Adding to 10040900 its reverse (904001), we get a palindrome (10944901).

The spelling of 10040900 in words is "ten million, forty thousand, nine hundred".