105745973 has 8 divisors (see below), whose sum is σ = 111585600. Its totient is φ = 100009888.

The previous prime is 105745957. The next prime is 105745993. The reversal of 105745973 is 379547501.

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

It is not a de Polignac number, because 105745973 - 2⁴ = 105745957 is a prime.

It is a super-2 number, since 2×105745973² = 22364421611433458, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 105745973.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105745993) 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, 23783 + ... + 27876.

It is an arithmetic number, because the mean of its divisors is an integer number (13948200).

Almost surely, 2^105745973 is an apocalyptic number.

It is an amenable number.

105745973 is a deficient number, since it is larger than the sum of its proper divisors (5839627).

105745973 is an equidigital number, since it uses as much as digits as its factorization.

105745973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51771.

The product of its (nonzero) digits is 132300, while the sum is 41.

The square root of 105745973 is about 10283.2860992972. The cubic root of 105745973 is about 472.8839919499.

The spelling of 105745973 in words is "one hundred five million, seven hundred forty-five thousand, nine hundred seventy-three".