105217992 has 48 divisors (see below), whose sum is σ = 310873680. Its totient is φ = 31884000.

The previous prime is 105217979. The next prime is 105218011. The reversal of 105217992 is 299712501.

It is a super-2 number, since 2×105217992² = 22141651681024128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65634 + ... + 67217.

It is an arithmetic number, because the mean of its divisors is an integer number (6476535).

Almost surely, 2^105217992 is an apocalyptic number.

105217992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105217992 is an abundant number, since it is smaller than the sum of its proper divisors (205655688).

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

105217992 is a wasteful number, since it uses less digits than its factorization.

105217992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132874 (or 132867 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 105217992 is about 10257.5821712526. The cubic root of 105217992 is about 472.0956547492.

It can be divided in two parts, 1052 and 17992, that added together give a square (19044 = 138²).

The spelling of 105217992 in words is "one hundred five million, two hundred seventeen thousand, nine hundred ninety-two".