106767870 has 64 divisors (see below), whose sum is σ = 280869120. Its totient is φ = 25760000.

The previous prime is 106767853. The next prime is 106767901. The reversal of 106767870 is 78767601.

It is a super-2 number, since 2×106767870² = 22798756128673800, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 82186 + ... + 83474.

It is an arithmetic number, because the mean of its divisors is an integer number (4388580).

Almost surely, 2^106767870 is an apocalyptic number.

106767870 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 106767870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140434560).

106767870 is an abundant number, since it is smaller than the sum of its proper divisors (174101250).

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

106767870 is a wasteful number, since it uses less digits than its factorization.

106767870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1561.

The product of its (nonzero) digits is 98784, while the sum is 42.

The square root of 106767870 is about 10332.8539136097. The cubic root of 106767870 is about 474.4023804631.

The spelling of 106767870 in words is "one hundred six million, seven hundred sixty-seven thousand, eight hundred seventy".