106776100000 has 72 divisors (see below), whose sum is σ = 262752737436. Its totient is φ = 42710400000.

The previous prime is 106776099977. The next prime is 106776100019. The reversal of 106776100000 is 1677601.

It can be written as a sum of positive squares in 6 ways, for example, as 25621764624 + 81154335376 = 160068^2 + 284876^2 .

It is a super-2 number, since 2×106776100000² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 433881 + ... + 633880.

Almost surely, 2^106776100000 is an apocalyptic number.

106776100000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106776100000 is an abundant number, since it is smaller than the sum of its proper divisors (155976637436).

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

106776100000 is an frugal number, since it uses more digits than its factorization.

106776100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067796 (or 1067768 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 28.

Adding to 106776100000 its reverse (1677601), we get a palindrome (106777777601).

The spelling of 106776100000 in words is "one hundred six billion, seven hundred seventy-six million, one hundred thousand".