106283892 has 96 divisors (see below), whose sum is σ = 293698944. Its totient is φ = 29491200.

The previous prime is 106283867. The next prime is 106283893. The reversal of 106283892 is 298382601.

It is a happy number.

It is a super-2 number, since 2×106283892² = 22592531397335328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 106283892.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106283893) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 413428 + ... + 413684.

It is an arithmetic number, because the mean of its divisors is an integer number (3059364).

Almost surely, 2^106283892 is an apocalyptic number.

106283892 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 106283892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146849472).

106283892 is an abundant number, since it is smaller than the sum of its proper divisors (187415052).

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

106283892 is a wasteful number, since it uses less digits than its factorization.

106283892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 106283892 is about 10309.4079364433. The cubic root of 106283892 is about 473.6844737334.

The spelling of 106283892 in words is "one hundred six million, two hundred eighty-three thousand, eight hundred ninety-two".