106667240694 has 128 divisors (see below), whose sum is σ = 250511477760. Its totient is φ = 29652480000.

The previous prime is 106667240663. The next prime is 106667240711. The reversal of 106667240694 is 496042766601.

It is a super-2 number, since 2×106667240694² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 124175637 + ... + 124176495.

It is an arithmetic number, because the mean of its divisors is an integer number (1957120920).

Almost surely, 2^106667240694 is an apocalyptic number.

106667240694 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106667240694, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125255738880).

106667240694 is an abundant number, since it is smaller than the sum of its proper divisors (143844237066).

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

106667240694 is a wasteful number, since it uses less digits than its factorization.

106667240694 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446.

The product of its (nonzero) digits is 2612736, while the sum is 51.

It can be divided in two parts, 106667 and 240694, that added together give a triangular number (347361 = T₈₃₃).

The spelling of 106667240694 in words is "one hundred six billion, six hundred sixty-seven million, two hundred forty thousand, six hundred ninety-four".