106942680 has 160 divisors (see below), whose sum is σ = 387248400. Its totient is φ = 26313984.

The previous prime is 106942679. The next prime is 106942687. The reversal of 106942680 is 86249601.

It is a super-3 number, since 3×106942680³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106942687) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 40851 + ... + 43389.

Almost surely, 2^106942680 is an apocalyptic number.

106942680 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 106942680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193624200).

106942680 is an abundant number, since it is smaller than the sum of its proper divisors (280305720).

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

106942680 is a wasteful number, since it uses less digits than its factorization.

106942680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2575 (or 2562 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 106942680 is about 10341.3093948494. The cubic root of 106942680 is about 474.6611507621.

The spelling of 106942680 in words is "one hundred six million, nine hundred forty-two thousand, six hundred eighty".