106667064 has 256 divisors, whose sum is σ = 368640000. Its totient is φ = 27900288.

The previous prime is 106667053. The next prime is 106667081. The reversal of 106667064 is 460766601.

It is a super-2 number, since 2×106667064² = 22755725084760192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1350177 + ... + 1350255.

It is an arithmetic number, because the mean of its divisors is an integer number (1440000).

Almost surely, 2^106667064 is an apocalyptic number.

106667064 is a gapful number since it is divisible by the number (14) 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 106667064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184320000).

106667064 is an abundant number, since it is smaller than the sum of its proper divisors (261972936).

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

106667064 is a wasteful number, since it uses less digits than its factorization.

106667064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 106667064 is about 10327.9748256858. The cubic root of 106667064 is about 474.2530294614.

The spelling of 106667064 in words is "one hundred six million, six hundred sixty-seven thousand, sixty-four".