105587697 has 16 divisors (see below), whose sum is σ = 149288832. Its totient is φ = 66151680.

The previous prime is 105587689. The next prime is 105587749. The reversal of 105587697 is 796785501.

It is not a de Polignac number, because 105587697 - 2³ = 105587689 is a prime.

It is a super-2 number, since 2×105587697² = 22297523515527618, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105587627) 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, 48247 + ... + 50387.

It is an arithmetic number, because the mean of its divisors is an integer number (9330552).

Almost surely, 2^105587697 is an apocalyptic number.

105587697 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

105587697 is a deficient number, since it is larger than the sum of its proper divisors (43701135).

105587697 is a wasteful number, since it uses less digits than its factorization.

105587697 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3128.

The product of its (nonzero) digits is 529200, while the sum is 48.

The square root of 105587697 is about 10275.5874284636. The cubic root of 105587697 is about 472.6479433709.

The spelling of 105587697 in words is "one hundred five million, five hundred eighty-seven thousand, six hundred ninety-seven".