105911952 has 20 divisors (see below), whose sum is σ = 273606000. Its totient is φ = 35303968.

The previous prime is 105911951. The next prime is 105911957. The reversal of 105911952 is 259119501.

It is a happy number.

It is a super-2 number, since 2×105911952² = 22434683152900608, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105911951) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1103202 + ... + 1103297.

It is an arithmetic number, because the mean of its divisors is an integer number (13680300).

Almost surely, 2^105911952 is an apocalyptic number.

105911952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105911952 is an abundant number, since it is smaller than the sum of its proper divisors (167694048).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105911952 is a wasteful number, since it uses less digits than its factorization.

105911952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2206510 (or 2206504 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 33.

The square root of 105911952 is about 10291.3532637841. The cubic root of 105911952 is about 473.1312757006.

The spelling of 105911952 in words is "one hundred five million, nine hundred eleven thousand, nine hundred fifty-two".