106781760 has 224 divisors, whose sum is σ = 399409920. Its totient is φ = 26763264.

The previous prime is 106781749. The next prime is 106781761. The reversal of 106781760 is 67187601.

It is a happy number.

It is a super-2 number, since 2×106781760² = 22804688537395200, which contains 22 as substring.

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 (106781761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146517 + ... + 147243.

It is an arithmetic number, because the mean of its divisors is an integer number (1783080).

Almost surely, 2^106781760 is an apocalyptic number.

106781760 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 106781760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199704960).

106781760 is an abundant number, since it is smaller than the sum of its proper divisors (292628160).

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

106781760 is a wasteful number, since it uses less digits than its factorization.

106781760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 106781760 is about 10333.5260197089. The cubic root of 106781760 is about 474.4229520805.

The spelling of 106781760 in words is "one hundred six million, seven hundred eighty-one thousand, seven hundred sixty".