106213320 has 48 divisors (see below), whose sum is σ = 345194460. Its totient is φ = 28323456.

The previous prime is 106213319. The next prime is 106213337. The reversal of 106213320 is 23312601.

106213320 is a `hidden beast` number, since 10 + 621 + 3 + 32 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 101727396 + 4485924 = 10086^2 + 2118^2 .

It is a super-2 number, since 2×106213320² = 22562538690844800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 106213293 and 106213302.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 147159 + ... + 147878.

Almost surely, 2^106213320 is an apocalyptic number.

106213320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106213320 is an abundant number, since it is smaller than the sum of its proper divisors (238981140).

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

106213320 is a wasteful number, since it uses less digits than its factorization.

106213320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295054 (or 295047 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 106213320 is about 10305.9846691134. The cubic root of 106213320 is about 473.5796091058.

Adding to 106213320 its reverse (23312601), we get a palindrome (129525921).

It can be divided in two parts, 1062133 and 20, that added together give a triangular number (1062153 = T₁₄₅₇).

The spelling of 106213320 in words is "one hundred six million, two hundred thirteen thousand, three hundred twenty".