106380777816 has 40 divisors (see below), whose sum is σ = 297964680420. Its totient is φ = 35460259056.

The previous prime is 106380777803. The next prime is 106380777941. The reversal of 106380777816 is 618777083601.

It is a super-2 number, since 2×106380777816² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 82083286 + ... + 82084581.

Almost surely, 2^106380777816 is an apocalyptic number.

It is an amenable number.

106380777816 is an abundant number, since it is smaller than the sum of its proper divisors (191583902604).

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

106380777816 is a wasteful number, since it uses less digits than its factorization.

106380777816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164167885 (or 164167872 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The spelling of 106380777816 in words is "one hundred six billion, three hundred eighty million, seven hundred seventy-seven thousand, eight hundred sixteen".