105680007 has 12 divisors (see below), whose sum is σ = 161628480. Its totient is φ = 66308928.

The previous prime is 105679979. The next prime is 105680011. The reversal of 105680007 is 700086501.

It is not a de Polignac number, because 105680007 - 2⁶ = 105679943 is a prime.

It is a super-2 number, since 2×105680007² = 22336527759040098, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105680027) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 345207 + ... + 345512.

It is an arithmetic number, because the mean of its divisors is an integer number (13469040).

Almost surely, 2^105680007 is an apocalyptic number.

105680007 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

105680007 is a deficient number, since it is larger than the sum of its proper divisors (55948473).

105680007 is a wasteful number, since it uses less digits than its factorization.

105680007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690742 (or 690739 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 105680007 is about 10280.0781611815. The cubic root of 105680007 is about 472.7856406738.

The spelling of 105680007 in words is "one hundred five million, six hundred eighty thousand, seven".