106235820 has 96 divisors (see below), whose sum is σ = 333627840. Its totient is φ = 28062720.

The previous prime is 106235819. The next prime is 106235837. The reversal of 106235820 is 28532601.

106235820 is a `hidden beast` number, since 10 + 623 + 5 + 8 + 20 = 666.

It is a super-2 number, since 2×106235820² = 22572098902144800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 60150 + ... + 61890.

It is an arithmetic number, because the mean of its divisors is an integer number (3475290).

Almost surely, 2^106235820 is an apocalyptic number.

106235820 is a gapful number since it is divisible by the number (10) 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 106235820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166813920).

106235820 is an abundant number, since it is smaller than the sum of its proper divisors (227392020).

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

106235820 is a wasteful number, since it uses less digits than its factorization.

106235820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1872 (or 1864 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 106235820 is about 10307.0762100607. The cubic root of 106235820 is about 473.6130474381.

The spelling of 106235820 in words is "one hundred six million, two hundred thirty-five thousand, eight hundred twenty".