105999956 has 6 divisors (see below), whose sum is σ = 185499930. Its totient is φ = 52999976.

The previous prime is 105999953. The next prime is 105999961. The reversal of 105999956 is 659999501.

It can be written as a sum of positive squares in only one way, i.e., 98327056 + 7672900 = 9916^2 + 2770^2 .

It is a super-2 number, since 2×105999956² = 22471981344003872, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105999898 and 105999907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105999953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13249991 + ... + 13249998.

It is an arithmetic number, because the mean of its divisors is an integer number (30916655).

Almost surely, 2^105999956 is an apocalyptic number.

It is an amenable number.

105999956 is a deficient number, since it is larger than the sum of its proper divisors (79499974).

105999956 is a wasteful number, since it uses less digits than its factorization.

105999956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26499993 (or 26499991 counting only the distinct ones).

The product of its (nonzero) digits is 984150, while the sum is 53.

The square root of 105999956 is about 10295.6280041579. The cubic root of 105999956 is about 473.2622836335.

The spelling of 105999956 in words is "one hundred five million, nine hundred ninety-nine thousand, nine hundred fifty-six".