106607340 has 360 divisors, whose sum is σ = 417130560. Its totient is φ = 22643712.

The previous prime is 106607317. The next prime is 106607387. The reversal of 106607340 is 43706601.

106607340 is a `hidden beast` number, since 10 + 6 + 607 + 3 + 40 = 666.

It is a super-2 number, since 2×106607340² = 22730249883751200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1349421 + ... + 1349499.

It is an arithmetic number, because the mean of its divisors is an integer number (1158696).

Almost surely, 2^106607340 is an apocalyptic number.

106607340 is a gapful number since it is divisible by the number (10) 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 106607340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208565280).

106607340 is an abundant number, since it is smaller than the sum of its proper divisors (310523220).

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

106607340 is a wasteful number, since it uses less digits than its factorization.

106607340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 106607340 is about 10325.0830505134. The cubic root of 106607340 is about 474.1644998664.

The spelling of 106607340 in words is "one hundred six million, six hundred seven thousand, three hundred forty".