1040100090 has 64 divisors (see below), whose sum is σ = 2677276800. Its totient is φ = 257796864.

The previous prime is 1040100053. The next prime is 1040100097. The reversal of 1040100090 is 900010401.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1040100097) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12996 + ... + 47424.

It is an arithmetic number, because the mean of its divisors is an integer number (41832450).

Almost surely, 2^1040100090 is an apocalyptic number.

1040100090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1040100090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1338638400).

1040100090 is an abundant number, since it is smaller than the sum of its proper divisors (1637176710).

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

1040100090 is a wasteful number, since it uses less digits than its factorization.

1040100090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34511.

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 1040100090 is about 32250.5827854320. The cubic root of 1040100090 is about 1013.1919050611.

Adding to 1040100090 its reverse (900010401), we get a palindrome (1940110491).

The spelling of 1040100090 in words is "one billion, forty million, one hundred thousand, ninety".