106677700000 has 72 divisors (see below), whose sum is σ = 262510596684. Its totient is φ = 42671040000.

The previous prime is 106677699967. The next prime is 106677700009. The reversal of 106677700000 is 7776601.

It can be written as a sum of positive squares in 6 ways, for example, as 1372257936 + 105305442064 = 37044^2 + 324508^2 .

It is a super-2 number, since 2×106677700000² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106677700009) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 433389 + ... + 633388.

Almost surely, 2^106677700000 is an apocalyptic number.

106677700000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106677700000 is an abundant number, since it is smaller than the sum of its proper divisors (155832896684).

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

106677700000 is an frugal number, since it uses more digits than its factorization.

106677700000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066812 (or 1066784 counting only the distinct ones).

The product of its (nonzero) digits is 12348, while the sum is 34.

The spelling of 106677700000 in words is "one hundred six billion, six hundred seventy-seven million, seven hundred thousand".