90105930 has 24 divisors (see below), whose sum is σ = 234275652. Its totient is φ = 24028224.

The previous prime is 90105907. The next prime is 90105931. The reversal of 90105930 is 3950109.

It can be written as a sum of positive squares in 2 ways, for example, as 86657481 + 3448449 = 9309^2 + 1857^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 90105894 and 90105903.

It is not an unprimeable number, because it can be changed into a prime (90105931) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 500499 + ... + 500678.

Almost surely, 2^90105930 is an apocalyptic number.

90105930 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

90105930 is an abundant number, since it is smaller than the sum of its proper divisors (144169722).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

90105930 is a wasteful number, since it uses less digits than its factorization.

90105930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001190 (or 1001187 counting only the distinct ones).

The product of its (nonzero) digits is 1215, while the sum is 27.

The square root of 90105930 is about 9492.4143398821. The cubic root of 90105930 is about 448.3162261668.

The spelling of 90105930 in words is "ninety million, one hundred five thousand, nine hundred thirty".