106680156 has 48 divisors (see below), whose sum is σ = 275294208. Its totient is φ = 31881600.

The previous prime is 106680143. The next prime is 106680157. The reversal of 106680156 is 651086601.

It is a super-2 number, since 2×106680156² = 22761311368368672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106680157) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4101 + ... + 15171.

It is an arithmetic number, because the mean of its divisors is an integer number (5735296).

Almost surely, 2^106680156 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106680156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137647104).

106680156 is an abundant number, since it is smaller than the sum of its proper divisors (168614052).

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

106680156 is a wasteful number, since it uses less digits than its factorization.

106680156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11162 (or 11160 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 106680156 is about 10328.6086187831. The cubic root of 106680156 is about 474.2724314724.

The spelling of 106680156 in words is "one hundred six million, six hundred eighty thousand, one hundred fifty-six".