105005951 has 8 divisors (see below), whose sum is σ = 112183680. Its totient is φ = 97993368.

The previous prime is 105005939. The next prime is 105005969. The reversal of 105005951 is 159500501.

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 105005951 - 2²² = 100811647 is a prime.

It is a super-2 number, since 2×105005951² = 22052499490828802, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105005951.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105005911) 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, 39971 + ... + 42516.

It is an arithmetic number, because the mean of its divisors is an integer number (14022960).

Almost surely, 2^105005951 is an apocalyptic number.

105005951 is a deficient number, since it is larger than the sum of its proper divisors (7177729).

105005951 is an equidigital number, since it uses as much as digits as its factorization.

105005951 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82573.

The product of its (nonzero) digits is 1125, while the sum is 26.

The square root of 105005951 is about 10247.2411409120. The cubic root of 105005951 is about 471.7783105607.

The spelling of 105005951 in words is "one hundred five million, five thousand, nine hundred fifty-one".