90105319 has 8 divisors (see below), whose sum is σ = 91607328. Its totient is φ = 88609920.

The previous prime is 90105307. The next prime is 90105347. The reversal of 90105319 is 91350109.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 90105319 - 2²⁵ = 56550887 is a prime.

It is a super-2 number, since 2×90105319² = 16237937024183522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90105359) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31059 + ... + 33835.

It is an arithmetic number, because the mean of its divisors is an integer number (11450916).

Almost surely, 2^90105319 is an apocalyptic number.

90105319 is a deficient number, since it is larger than the sum of its proper divisors (1502009).

90105319 is a wasteful number, since it uses less digits than its factorization.

90105319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3305.

The product of its (nonzero) digits is 1215, while the sum is 28.

The square root of 90105319 is about 9492.3821562345. The cubic root of 90105319 is about 448.3152128342.

The spelling of 90105319 in words is "ninety million, one hundred five thousand, three hundred nineteen".