105605006057 has 8 divisors (see below), whose sum is σ = 109727827200. Its totient is φ = 101514269584.

The previous prime is 105605006029. The next prime is 105605006113. The reversal of 105605006057 is 750600506501.

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 105605006057 - 2¹⁴ = 105604989673 is a prime.

It is a super-2 number, since 2×105605006057² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105605003057) 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, 8014457 + ... + 8027622.

It is an arithmetic number, because the mean of its divisors is an integer number (13715978400).

Almost surely, 2^105605006057 is an apocalyptic number.

It is an amenable number.

105605006057 is a deficient number, since it is larger than the sum of its proper divisors (4122821143).

105605006057 is a wasteful number, since it uses less digits than its factorization.

105605006057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16042335.

The product of its (nonzero) digits is 31500, while the sum is 35.

The spelling of 105605006057 in words is "one hundred five billion, six hundred five million, six thousand, fifty-seven".