106773940 has 216 divisors, whose sum is σ = 308682360. Its totient is φ = 30707712.

The previous prime is 106773917. The next prime is 106773943. The reversal of 106773940 is 49377601.

It can be written as a sum of positive squares in 12 ways, for example, as 12645136 + 94128804 = 3556^2 + 9702^2 .

It is a super-2 number, since 2×106773940² = 22801348526247200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 106773940.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106773943) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3681846 + ... + 3681874.

It is an arithmetic number, because the mean of its divisors is an integer number (1429085).

Almost surely, 2^106773940 is an apocalyptic number.

106773940 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 106773940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154341180).

106773940 is an abundant number, since it is smaller than the sum of its proper divisors (201908420).

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

106773940 is a wasteful number, since it uses less digits than its factorization.

106773940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 37.

The square root of 106773940 is about 10333.1476327400. The cubic root of 106773940 is about 474.4113705831.

The spelling of 106773940 in words is "one hundred six million, seven hundred seventy-three thousand, nine hundred forty".