105916775 has 12 divisors (see below), whose sum is σ = 132343464. Its totient is φ = 84084000.

The previous prime is 105916763. The next prime is 105916793. The reversal of 105916775 is 577619501.

It is not a de Polignac number, because 105916775 - 2⁶ = 105916711 is a prime.

It is a super-2 number, since 2×105916775² = 22436726452801250, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12896 + ... + 19445.

It is an arithmetic number, because the mean of its divisors is an integer number (11028622).

Almost surely, 2^105916775 is an apocalyptic number.

105916775 is a deficient number, since it is larger than the sum of its proper divisors (26426689).

105916775 is a wasteful number, since it uses less digits than its factorization.

105916775 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32482 (or 32477 counting only the distinct ones).

The product of its (nonzero) digits is 66150, while the sum is 41.

The square root of 105916775 is about 10291.5875840416. The cubic root of 105916775 is about 473.1384573814.

The spelling of 105916775 in words is "one hundred five million, nine hundred sixteen thousand, seven hundred seventy-five".