106168680 has 96 divisors (see below), whose sum is σ = 353513160. Its totient is φ = 27617280.

The previous prime is 106168679. The next prime is 106168693. The reversal of 106168680 is 86861601.

It can be written as a sum of positive squares in 4 ways, for example, as 29746116 + 76422564 = 5454^2 + 8742^2 .

It is a super-2 number, since 2×106168680² = 22543577225884800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11164 + ... + 18356.

Almost surely, 2^106168680 is an apocalyptic number.

106168680 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 106168680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176756580).

106168680 is an abundant number, since it is smaller than the sum of its proper divisors (247344480).

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

106168680 is a wasteful number, since it uses less digits than its factorization.

106168680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7251 (or 7244 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 106168680 is about 10303.8187095853. The cubic root of 106168680 is about 473.5132534731.

The spelling of 106168680 in words is "one hundred six million, one hundred sixty-eight thousand, six hundred eighty".