10766670010100 has 18 divisors (see below), whose sum is σ = 23363673922134. Its totient is φ = 4306668004000.

The previous prime is 10766670010093. The next prime is 10766670010121. The reversal of 10766670010100 is 101007666701.

It can be written as a sum of positive squares in 3 ways, for example, as 774660501904 + 9992009508196 = 880148^2 + 3161014^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 53833349951 + ... + 53833350150.

It is an arithmetic number, because the mean of its divisors is an integer number (1297981884563).

Almost surely, 2^{10766670010100} is an apocalyptic number.

10766670010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10766670010100 is an abundant number, since it is smaller than the sum of its proper divisors (12597003912034).

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

10766670010100 is a wasteful number, since it uses less digits than its factorization.

10766670010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107666700115 (or 107666700108 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 35.

Adding to 10766670010100 its reverse (101007666701), we get a palindrome (10867677676801).

The spelling of 10766670010100 in words is "ten trillion, seven hundred sixty-six billion, six hundred seventy million, ten thousand, one hundred".