105738807 has 8 divisors (see below), whose sum is σ = 141919360. Its totient is φ = 70025400.

The previous prime is 105738779. The next prime is 105738833. The reversal of 105738807 is 708837501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105738807 - 2¹⁰ = 105737783 is a prime.

It is a super-2 number, since 2×105738807² = 22361390611566498, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105738847) 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, 116257 + ... + 117162.

It is an arithmetic number, because the mean of its divisors is an integer number (17739920).

Almost surely, 2^105738807 is an apocalyptic number.

105738807 is a deficient number, since it is larger than the sum of its proper divisors (36180553).

105738807 is a wasteful number, since it uses less digits than its factorization.

105738807 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233573.

The product of its (nonzero) digits is 47040, while the sum is 39.

The square root of 105738807 is about 10282.9376639169. The cubic root of 105738807 is about 472.8733098623.

The spelling of 105738807 in words is "one hundred five million, seven hundred thirty-eight thousand, eight hundred seven".