106091856 has 120 divisors (see below), whose sum is σ = 331749600. Its totient is φ = 32628096.

The previous prime is 106091819. The next prime is 106091857. The reversal of 106091856 is 658190601.

It is a super-2 number, since 2×106091856² = 22510963819049472, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 106091856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106091857) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49495 + ... + 51593.

It is an arithmetic number, because the mean of its divisors is an integer number (2764580).

Almost surely, 2^106091856 is an apocalyptic number.

106091856 is a gapful number since it is divisible by the number (16) 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 106091856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165874800).

106091856 is an abundant number, since it is smaller than the sum of its proper divisors (225657744).

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

106091856 is a wasteful number, since it uses less digits than its factorization.

106091856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2135 (or 2117 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 106091856 is about 10300.0900966933. The cubic root of 106091856 is about 473.3990140071.

The spelling of 106091856 in words is "one hundred six million, ninety-one thousand, eight hundred fifty-six".