10000000000090 has 32 divisors (see below), whose sum is σ = 18621005896080. Its totient is φ = 3862003375104.

The previous prime is 10000000000051. The next prime is 10000000000099. The reversal of 10000000000090 is 9000000000001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 6196669254721 + 3803330745369 = 2489311^2 + 1950213^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

10000000000090 is a modest number, since divided by 90 gives 10 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 9999999999977 and 10000000000076.

It is not an unprimeable number, because it can be changed into a prime (10000000000099) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19000162 + ... + 19519378.

Almost surely, 2^{10000000000090} is an apocalyptic number.

10000000000090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10000000000090 is a deficient number, since it is larger than the sum of its proper divisors (8621005895990).

10000000000090 is a wasteful number, since it uses less digits than its factorization.

10000000000090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585666.

The product of its (nonzero) digits is 9, while the sum is 10.

Adding to 10000000000090 its reverse (9000000000001), we get a palindrome (19000000000091).

It can be divided in two parts, 100000000000 and 90, that multiplied together give a square (9000000000000 = 3000000²).

The spelling of 10000000000090 in words is "ten trillion, ninety", and thus it is an aban number and an uban number.