105077707 has 8 divisors (see below), whose sum is σ = 122540000. Its totient is φ = 90066312.

The previous prime is 105077699. The next prime is 105077737. The reversal of 105077707 is 707770501.

It is not a de Polignac number, because 105077707 - 2³ = 105077699 is a prime.

It is a super-2 number, since 2×105077707² = 22082649016755698, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105077737) 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, 152832 + ... + 153517.

It is an arithmetic number, because the mean of its divisors is an integer number (15317500).

Almost surely, 2^105077707 is an apocalyptic number.

105077707 is a deficient number, since it is larger than the sum of its proper divisors (17462293).

105077707 is an frugal number, since it uses more digits than its factorization.

105077707 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306370 (or 306356 counting only the distinct ones).

The product of its (nonzero) digits is 12005, while the sum is 34.

The square root of 105077707 is about 10250.7417780373. The cubic root of 105077707 is about 471.8857496023.

The spelling of 105077707 in words is "one hundred five million, seventy-seven thousand, seven hundred seven".