105990577 has 12 divisors (see below), whose sum is σ = 134504496. Its totient is φ = 82589640.

The previous prime is 105990559. The next prime is 105990623. The reversal of 105990577 is 775099501.

It is not a de Polignac number, because 105990577 - 2¹⁵ = 105957809 is a prime.

It is a super-2 number, since 2×105990577² = 22468004825585858, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105990527) 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, 97783 + ... + 98860.

It is an arithmetic number, because the mean of its divisors is an integer number (11208708).

Almost surely, 2^105990577 is an apocalyptic number.

It is an amenable number.

105990577 is a deficient number, since it is larger than the sum of its proper divisors (28513919).

105990577 is a wasteful number, since it uses less digits than its factorization.

105990577 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196668 (or 196661 counting only the distinct ones).

The product of its (nonzero) digits is 99225, while the sum is 43.

The square root of 105990577 is about 10295.1725094823. The cubic root of 105990577 is about 473.2483249551.

The spelling of 105990577 in words is "one hundred five million, nine hundred ninety thousand, five hundred seventy-seven".