106766773740 has 288 divisors, whose sum is σ = 357119642880. Its totient is φ = 25604467200.

The previous prime is 106766773721. The next prime is 106766773741. The reversal of 106766773740 is 47377667601.

It is a super-2 number, since 2×106766773740² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106766773741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 144474291 + ... + 144475029.

It is an arithmetic number, because the mean of its divisors is an integer number (1239998760).

Almost surely, 2^106766773740 is an apocalyptic number.

106766773740 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 106766773740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178559821440).

106766773740 is an abundant number, since it is smaller than the sum of its proper divisors (250352869140).

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

106766773740 is a wasteful number, since it uses less digits than its factorization.

106766773740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1453 (or 1448 counting only the distinct ones).

The product of its (nonzero) digits is 6223392, while the sum is 54.

The spelling of 106766773740 in words is "one hundred six billion, seven hundred sixty-six million, seven hundred seventy-three thousand, seven hundred forty".