90379105 has 16 divisors (see below), whose sum is σ = 117849600. Its totient is φ = 66286080.

The previous prime is 90379103. The next prime is 90379111. The reversal of 90379105 is 50197309.

It is not a de Polignac number, because 90379105 - 2¹ = 90379103 is a prime.

It is a super-3 number, since 3×90379105³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (90379103) 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, 12400 + ... + 18289.

It is an arithmetic number, because the mean of its divisors is an integer number (7365600).

Almost surely, 2^90379105 is an apocalyptic number.

90379105 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

It is an amenable number.

90379105 is a deficient number, since it is larger than the sum of its proper divisors (27470495).

90379105 is a wasteful number, since it uses less digits than its factorization.

90379105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30744.

The product of its (nonzero) digits is 8505, while the sum is 34.

The square root of 90379105 is about 9506.7925716300. The cubic root of 90379105 is about 448.7688239402.

It can be divided in two parts, 903 and 79105, that added together give a palindrome (80008).

The spelling of 90379105 in words is "ninety million, three hundred seventy-nine thousand, one hundred five".