105706692 has 144 divisors (see below), whose sum is σ = 337314432. Its totient is φ = 27164160.

The previous prime is 105706649. The next prime is 105706693. The reversal of 105706692 is 296607501.

It is a super-2 number, since 2×105706692² = 22347809467165728, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (105706693) 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 in 47 ways as a sum of consecutive naturals, for example, 133923 + ... + 134709.

Almost surely, 2^105706692 is an apocalyptic number.

105706692 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105706692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168657216).

105706692 is an abundant number, since it is smaller than the sum of its proper divisors (231607740).

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

105706692 is a wasteful number, since it uses less digits than its factorization.

105706692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 105706692 is about 10281.3759779516. The cubic root of 105706692 is about 472.8254313066.

The spelling of 105706692 in words is "one hundred five million, seven hundred six thousand, six hundred ninety-two".