105948693 has 12 divisors (see below), whose sum is σ = 161091840. Its totient is φ = 66914856.

The previous prime is 105948679. The next prime is 105948707. The reversal of 105948693 is 396849501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (105948679) and next prime (105948707).

It is not a de Polignac number, because 105948693 - 2⁴ = 105948677 is a prime.

It is a super-2 number, since 2×105948693² = 22450251096816498, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105948673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 309621 + ... + 309962.

It is an arithmetic number, because the mean of its divisors is an integer number (13424320).

Almost surely, 2^105948693 is an apocalyptic number.

It is an amenable number.

105948693 is a deficient number, since it is larger than the sum of its proper divisors (55143147).

105948693 is a wasteful number, since it uses less digits than its factorization.

105948693 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619608 (or 619605 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 105948693 is about 10293.1381512151. The cubic root of 105948693 is about 473.1859793362.

The spelling of 105948693 in words is "one hundred five million, nine hundred forty-eight thousand, six hundred ninety-three".