106817940 has 144 divisors (see below), whose sum is σ = 347343360. Its totient is φ = 27527040.

The previous prime is 106817939. The next prime is 106817947. The reversal of 106817940 is 49718601.

It is a super-2 number, since 2×106817940² = 22820144611687200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 106817895 and 106817904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106817947) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 150306 + ... + 151014.

Almost surely, 2^106817940 is an apocalyptic number.

106817940 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 106817940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173671680).

106817940 is an abundant number, since it is smaller than the sum of its proper divisors (240525420).

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

106817940 is a wasteful number, since it uses less digits than its factorization.

106817940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 106817940 is about 10335.2764839650. The cubic root of 106817940 is about 474.4765276606.

The spelling of 106817940 in words is "one hundred six million, eight hundred seventeen thousand, nine hundred forty".