106213068 has 72 divisors (see below), whose sum is σ = 298503296. Its totient is φ = 31622400.

The previous prime is 106213061. The next prime is 106213087. The reversal of 106213068 is 860312601.

106213068 is a `hidden beast` number, since 1 + 0 + 621 + 30 + 6 + 8 = 666.

It is a super-2 number, since 2×106213068² = 22562431627945248, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106213061) 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, 10848 + ... + 18168.

Almost surely, 2^106213068 is an apocalyptic number.

106213068 is a gapful number since it is divisible by the number (18) 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 106213068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149251648).

106213068 is an abundant number, since it is smaller than the sum of its proper divisors (192290228).

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

106213068 is a wasteful number, since it uses less digits than its factorization.

106213068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7375 (or 7370 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 106213068 is about 10305.9724432001. The cubic root of 106213068 is about 473.5792345697.

Adding to 106213068 its reverse (860312601), we get a palindrome (966525669).

It can be divided in two parts, 10621 and 3068, that added together give a square (13689 = 117²).

The spelling of 106213068 in words is "one hundred six million, two hundred thirteen thousand, sixty-eight".