91165050 has 108 divisors (see below), whose sum is σ = 260556426. Its totient is φ = 22848000.

The previous prime is 91165043. The next prime is 91165121. The reversal of 91165050 is 5056119.

91165050 is a `hidden beast` number, since 9 + 1 + 1 + 650 + 5 + 0 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 42263001 + 48902049 = 6501^2 + 6993^2 .

It is a super-2 number, since 2×91165050² = 16622132683005000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 129700 + ... + 130400.

Almost surely, 2^91165050 is an apocalyptic number.

91165050 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 91165050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130278213).

91165050 is an abundant number, since it is smaller than the sum of its proper divisors (169391376).

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

91165050 is a wasteful number, since it uses less digits than its factorization.

91165050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The square root of 91165050 is about 9548.0390656930. The cubic root of 91165050 is about 450.0659162700.

The spelling of 91165050 in words is "ninety-one million, one hundred sixty-five thousand, fifty".