106716840 has 64 divisors (see below), whose sum is σ = 325598400. Its totient is φ = 27973632.

The previous prime is 106716823. The next prime is 106716853. The reversal of 106716840 is 48617601.

It is a happy number.

It is a super-2 number, since 2×106716840² = 22776967879171200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 457 + ... + 14616.

It is an arithmetic number, because the mean of its divisors is an integer number (5087475).

Almost surely, 2^106716840 is an apocalyptic number.

106716840 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 106716840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162799200).

106716840 is an abundant number, since it is smaller than the sum of its proper divisors (218881560).

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

106716840 is a wasteful number, since it uses less digits than its factorization.

106716840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15146 (or 15142 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 106716840 is about 10330.3843103730. The cubic root of 106716840 is about 474.3267877735.

The spelling of 106716840 in words is "one hundred six million, seven hundred sixteen thousand, eight hundred forty".