105420657 has 16 divisors (see below), whose sum is σ = 143814528. Its totient is φ = 68664960.

The previous prime is 105420647. The next prime is 105420673. The reversal of 105420657 is 756024501.

It is not a de Polignac number, because 105420657 - 2⁴ = 105420641 is a prime.

It is a super-2 number, since 2×105420657² = 22227029844623298, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105420647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40557 + ... + 43077.

It is an arithmetic number, because the mean of its divisors is an integer number (8988408).

Almost surely, 2^105420657 is an apocalyptic number.

It is an amenable number.

105420657 is a deficient number, since it is larger than the sum of its proper divisors (38393871).

105420657 is a wasteful number, since it uses less digits than its factorization.

105420657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2840.

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 105420657 is about 10267.4562088182. The cubic root of 105420657 is about 472.3985684123.

The spelling of 105420657 in words is "one hundred five million, four hundred twenty thousand, six hundred fifty-seven".