90400101 has 16 divisors (see below), whose sum is σ = 139226688. Its totient is φ = 51564800.

The previous prime is 90400091. The next prime is 90400153. The reversal of 90400101 is 10100409.

It is a cyclic number.

It is not a de Polignac number, because 90400101 - 2⁵ = 90400069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90400181) 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, 80010 + ... + 81131.

It is an arithmetic number, because the mean of its divisors is an integer number (8701668).

Almost surely, 2^90400101 is an apocalyptic number.

It is an amenable number.

90400101 is a deficient number, since it is larger than the sum of its proper divisors (48826587).

90400101 is a wasteful number, since it uses less digits than its factorization.

90400101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161172.

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

The square root of 90400101 is about 9507.8967705797. The cubic root of 90400101 is about 448.8035724612.

The spelling of 90400101 in words is "ninety million, four hundred thousand, one hundred one".