105661557 has 8 divisors (see below), whose sum is σ = 156535680. Its totient is φ = 70441020.

The previous prime is 105661553. The next prime is 105661597. The reversal of 105661557 is 755166501.

It is not a de Polignac number, because 105661557 - 2² = 105661553 is a prime.

It is a super-2 number, since 2×105661557² = 22328729255328498, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105661553) 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, 1956669 + ... + 1956722.

It is an arithmetic number, because the mean of its divisors is an integer number (19566960).

Almost surely, 2^105661557 is an apocalyptic number.

It is an amenable number.

105661557 is a deficient number, since it is larger than the sum of its proper divisors (50874123).

105661557 is an equidigital number, since it uses as much as digits as its factorization.

105661557 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3913400 (or 3913394 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 36.

The square root of 105661557 is about 10279.1807552937. The cubic root of 105661557 is about 472.7581255269.

The spelling of 105661557 in words is "one hundred five million, six hundred sixty-one thousand, five hundred fifty-seven".