106016790 has 64 divisors (see below), whose sum is σ = 278733312. Its totient is φ = 25593600.

The previous prime is 106016783. The next prime is 106016791. The reversal of 106016790 is 97610601.

It is a super-2 number, since 2×106016790² = 22479119523808200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106016791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102114 + ... + 103146.

It is an arithmetic number, because the mean of its divisors is an integer number (4355208).

Almost surely, 2^106016790 is an apocalyptic number.

106016790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106016790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139366656).

106016790 is an abundant number, since it is smaller than the sum of its proper divisors (172716522).

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

106016790 is a wasteful number, since it uses less digits than its factorization.

106016790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365.

The product of its (nonzero) digits is 2268, while the sum is 30.

The square root of 106016790 is about 10296.4455031822. The cubic root of 106016790 is about 473.2873354539.

It can be divided in two parts, 10601 and 6790, that added together give a triangular number (17391 = T₁₈₆).

The spelling of 106016790 in words is "one hundred six million, sixteen thousand, seven hundred ninety".