106814092 has 48 divisors (see below), whose sum is σ = 234178560. Its totient is φ = 41414400.

The previous prime is 106814087. The next prime is 106814117. The reversal of 106814092 is 290418601.

It is a happy number.

It is a super-2 number, since 2×106814092² = 22818500499568928, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73509 + ... + 74947.

It is an arithmetic number, because the mean of its divisors is an integer number (4878720).

Almost surely, 2^106814092 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106814092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117089280).

106814092 is an abundant number, since it is smaller than the sum of its proper divisors (127364468).

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

106814092 is a wasteful number, since it uses less digits than its factorization.

106814092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1702 (or 1700 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 106814092 is about 10335.0903237466. The cubic root of 106814092 is about 474.4708300920.

The spelling of 106814092 in words is "one hundred six million, eight hundred fourteen thousand, ninety-two".