90199110901 has 16 divisors (see below), whose sum is σ = 100662361200. Its totient is φ = 80419376128.

The previous prime is 90199110857. The next prime is 90199110917. The reversal of 90199110901 is 10901199109.

It can be written as a sum of positive squares in 8 ways, for example, as 8737388676 + 81461722225 = 93474^2 + 285415^2 .

It is a cyclic number.

It is not a de Polignac number, because 90199110901 - 2⁷ = 90199110773 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90199110941) 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, 1699906 + ... + 1752163.

It is an arithmetic number, because the mean of its divisors is an integer number (6291397575).

Almost surely, 2^90199110901 is an apocalyptic number.

It is an amenable number.

90199110901 is a deficient number, since it is larger than the sum of its proper divisors (10463250299).

90199110901 is a wasteful number, since it uses less digits than its factorization.

90199110901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3452168.

The product of its (nonzero) digits is 6561, while the sum is 40.

The spelling of 90199110901 in words is "ninety billion, one hundred ninety-nine million, one hundred ten thousand, nine hundred one".