105971952 has 40 divisors (see below), whose sum is σ = 280132864. Its totient is φ = 34501824.

The previous prime is 105971939. The next prime is 105971953. The reversal of 105971952 is 259179501.

It is a super-2 number, since 2×105971952² = 22460109221380608, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105971952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105971953) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23608 + ... + 27735.

Almost surely, 2^105971952 is an apocalyptic number.

105971952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105971952 is an abundant number, since it is smaller than the sum of its proper divisors (174160912).

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

105971952 is a wasteful number, since it uses less digits than its factorization.

105971952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51397 (or 51391 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 39.

The square root of 105971952 is about 10294.2679195754. The cubic root of 105971952 is about 473.2206030996.

The spelling of 105971952 in words is "one hundred five million, nine hundred seventy-one thousand, nine hundred fifty-two".