106112164 has 12 divisors (see below), whose sum is σ = 196619724. Its totient is φ = 49935104.

The previous prime is 106112137. The next prime is 106112191. The reversal of 106112164 is 461211601.

It is an interprime number because it is at equal distance from previous prime (106112137) and next prime (106112191).

It can be written as a sum of positive squares in 2 ways, for example, as 71537764 + 34574400 = 8458^2 + 5880^2 .

It is a super-2 number, since 2×106112164² = 22519582697525792, which contains 22 as substring.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 780169 + ... + 780304.

It is an arithmetic number, because the mean of its divisors is an integer number (16384977).

Almost surely, 2^106112164 is an apocalyptic number.

It is an amenable number.

106112164 is a deficient number, since it is larger than the sum of its proper divisors (90507560).

106112164 is a wasteful number, since it uses less digits than its factorization.

106112164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1560494 (or 1560492 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 106112164 is about 10301.0758661414. The cubic root of 106112164 is about 473.4292179398.

Adding to 106112164 its reverse (461211601), we get a palindrome (567323765).

It can be divided in two parts, 106112 and 164, that added together give a square (106276 = 326²).

The spelling of 106112164 in words is "one hundred six million, one hundred twelve thousand, one hundred sixty-four".