100090577 has 8 divisors (see below), whose sum is σ = 106093800. Its totient is φ = 94100224.

The previous prime is 100090477. The next prime is 100090583. The reversal of 100090577 is 775090001.

It can be written as a sum of positive squares in 4 ways, for example, as 2298256 + 97792321 = 1516^2 + 9889^2 .

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 100090577 - 2⁸ = 100090321 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100090597) 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, 16199 + ... + 21507.

It is an arithmetic number, because the mean of its divisors is an integer number (13261725).

Almost surely, 2^100090577 is an apocalyptic number.

100090577 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

100090577 is a deficient number, since it is larger than the sum of its proper divisors (6003223).

100090577 is a wasteful number, since it uses less digits than its factorization.

100090577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6435.

The product of its (nonzero) digits is 2205, while the sum is 29.

The square root of 100090577 is about 10004.5278249401. The cubic root of 100090577 is about 464.2989814682.

The spelling of 100090577 in words is "one hundred million, ninety thousand, five hundred seventy-seven".