105420707 has 30 divisors (see below), whose sum is σ = 130112052. Its totient is φ = 85390536.

The previous prime is 105420701. The next prime is 105420719. The reversal of 105420707 is 707024501.

It is not a de Polignac number, because 105420707 - 2⁶ = 105420643 is a prime.

It is a super-2 number, since 2×105420707² = 22227050928759698, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105420701) 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 29 ways as a sum of consecutive naturals, for example, 1270088 + ... + 1270170.

Almost surely, 2^105420707 is an apocalyptic number.

105420707 is a deficient number, since it is larger than the sum of its proper divisors (24691345).

105420707 is an frugal number, since it uses more digits than its factorization.

105420707 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 26.

The square root of 105420707 is about 10267.4586436956. The cubic root of 105420707 is about 472.3986430970.

The spelling of 105420707 in words is "one hundred five million, four hundred twenty thousand, seven hundred seven".