106804776100 has 81 divisors (see below), whose sum is σ = 254837232993. Its totient is φ = 38825028000.

The previous prime is 106804776097. The next prime is 106804776107. The reversal of 106804776100 is 1677408601.

The square root of 106804776100 is 326810.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 38449719396 + 68355056704 = 196086^2 + 261448^2 .

It is a super-2 number, since 2×106804776100² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106804776107) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 35947615 + ... + 35950585.

Almost surely, 2^106804776100 is an apocalyptic number.

106804776100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106804776100 is the 326810-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106804776100

106804776100 is an abundant number, since it is smaller than the sum of its proper divisors (148032456893).

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

106804776100 is an equidigital number, since it uses as much as digits as its factorization.

106804776100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5978 (or 2989 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 40.

The spelling of 106804776100 in words is "one hundred six billion, eight hundred four million, seven hundred seventy-six thousand, one hundred".