105691772 has 48 divisors (see below), whose sum is σ = 197487360. Its totient is φ = 49420800.

The previous prime is 105691769. The next prime is 105691783. The reversal of 105691772 is 277196501.

It is a super-2 number, since 2×105691772² = 22341501336999968, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 673118 + ... + 673274.

It is an arithmetic number, because the mean of its divisors is an integer number (4114320).

Almost surely, 2^105691772 is an apocalyptic number.

It is an amenable number.

105691772 is a deficient number, since it is larger than the sum of its proper divisors (91795588).

105691772 is a wasteful number, since it uses less digits than its factorization.

105691772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 38.

The square root of 105691772 is about 10280.6503685321. The cubic root of 105691772 is about 472.8031845682.

The spelling of 105691772 in words is "one hundred five million, six hundred ninety-one thousand, seven hundred seventy-two".