105406951 has 8 divisors (see below), whose sum is σ = 113675744. Its totient is φ = 97161120.

The previous prime is 105406901. The next prime is 105406957. The reversal of 105406951 is 159604501.

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 105406951 - 2⁷ = 105406823 is a prime.

It is a super-2 number, since 2×105406951² = 22221250638232802, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105406957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4486 + ... + 15196.

It is an arithmetic number, because the mean of its divisors is an integer number (14209468).

Almost surely, 2^105406951 is an apocalyptic number.

105406951 is a deficient number, since it is larger than the sum of its proper divisors (8268793).

105406951 is a wasteful number, since it uses less digits than its factorization.

105406951 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11481.

The product of its (nonzero) digits is 5400, while the sum is 31.

The square root of 105406951 is about 10266.7887384518. The cubic root of 105406951 is about 472.3780949568.

The spelling of 105406951 in words is "one hundred five million, four hundred six thousand, nine hundred fifty-one".