106319790 has 48 divisors (see below), whose sum is σ = 286676208. Its totient is φ = 28351296.

The previous prime is 106319753. The next prime is 106319791. The reversal of 106319790 is 97913601.

106319790 is a `hidden beast` number, since 10 + 631 + 9 + 7 + 9 + 0 = 666.

It is a super-2 number, since 2×106319790² = 22607795491288200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106319791) 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, 19447 + ... + 24306.

It is an arithmetic number, because the mean of its divisors is an integer number (5972421).

Almost surely, 2^106319790 is an apocalyptic number.

106319790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106319790 is an abundant number, since it is smaller than the sum of its proper divisors (180356418).

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

106319790 is an equidigital number, since it uses as much as digits as its factorization.

106319790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43775 (or 43763 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The square root of 106319790 is about 10311.1488205728. The cubic root of 106319790 is about 473.7377976218.

The spelling of 106319790 in words is "one hundred six million, three hundred nineteen thousand, seven hundred ninety".