105140967 has 8 divisors (see below), whose sum is σ = 140605296. Its totient is φ = 69885312.

The previous prime is 105140957. The next prime is 105141007. The reversal of 105140967 is 769041501.

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

It is a de Polignac number, because none of the positive numbers 2^k-105140967 is a prime.

It is a super-2 number, since 2×105140967² = 22109245883390178, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105140947) 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, 50988 + ... + 53009.

It is an arithmetic number, because the mean of its divisors is an integer number (17575662).

Almost surely, 2^105140967 is an apocalyptic number.

105140967 is a deficient number, since it is larger than the sum of its proper divisors (35464329).

105140967 is a wasteful number, since it uses less digits than its factorization.

105140967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104337.

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 105140967 is about 10253.8269441219. The cubic root of 105140967 is about 471.9804271664.

The spelling of 105140967 in words is "one hundred five million, one hundred forty thousand, nine hundred sixty-seven".