105997956 has 24 divisors (see below), whose sum is σ = 253362144. Its totient is φ = 34470720.

The previous prime is 105997943. The next prime is 105997963. The reversal of 105997956 is 659799501.

It is a happy number.

It is a super-2 number, since 2×105997956² = 22471133352355872, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105997899 and 105997908.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 107230 + ... + 108213.

It is an arithmetic number, because the mean of its divisors is an integer number (10556756).

Almost surely, 2^105997956 is an apocalyptic number.

It is an amenable number.

105997956 is an abundant number, since it is smaller than the sum of its proper divisors (147364188).

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

105997956 is a wasteful number, since it uses less digits than its factorization.

105997956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215491 (or 215489 counting only the distinct ones).

The product of its (nonzero) digits is 765450, while the sum is 51.

The square root of 105997956 is about 10295.5308750933. The cubic root of 105997956 is about 473.2593071212.

It can be divided in two parts, 105997 and 956, that added together give a triangular number (106953 = T₄₆₂).

The spelling of 105997956 in words is "one hundred five million, nine hundred ninety-seven thousand, nine hundred fifty-six".