105112973 has 8 divisors (see below), whose sum is σ = 120849792. Its totient is φ = 89556336.

The previous prime is 105112963. The next prime is 105112979. The reversal of 105112973 is 379211501.

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

It is a cyclic number.

It is not a de Polignac number, because 105112973 - 2⁴ = 105112957 is a prime.

It is a super-3 number, since 3×105112973³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105112979) 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, 43790 + ... + 46127.

It is an arithmetic number, because the mean of its divisors is an integer number (15106224).

Almost surely, 2^105112973 is an apocalyptic number.

It is an amenable number.

105112973 is a deficient number, since it is larger than the sum of its proper divisors (15736819).

105112973 is an equidigital number, since it uses as much as digits as its factorization.

105112973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90091.

The product of its (nonzero) digits is 1890, while the sum is 29.

The square root of 105112973 is about 10252.4618019284. The cubic root of 105112973 is about 471.9385348598.

The spelling of 105112973 in words is "one hundred five million, one hundred twelve thousand, nine hundred seventy-three".