106814070 has 96 divisors (see below), whose sum is σ = 316203264. Its totient is φ = 24763200.

The previous prime is 106814069. The next prime is 106814087. The reversal of 106814070 is 70418601.

It is a happy number.

It is a super-2 number, since 2×106814070² = 22818491099929800, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20425 + ... + 25115.

It is an arithmetic number, because the mean of its divisors is an integer number (3293784).

Almost surely, 2^106814070 is an apocalyptic number.

106814070 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 106814070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158101632).

106814070 is an abundant number, since it is smaller than the sum of its proper divisors (209389194).

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

106814070 is a wasteful number, since it uses less digits than its factorization.

106814070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4738 (or 4735 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 106814070 is about 10335.0892594114. The cubic root of 106814070 is about 474.4707975172.

The spelling of 106814070 in words is "one hundred six million, eight hundred fourteen thousand, seventy".