106807776 has 24 divisors (see below), whose sum is σ = 280370664. Its totient is φ = 35602560.

The previous prime is 106807751. The next prime is 106807777. The reversal of 106807776 is 677708601.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×106807776² = 22815802028132352, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106807777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 556195 + ... + 556386.

It is an arithmetic number, because the mean of its divisors is an integer number (11682111).

Almost surely, 2^106807776 is an apocalyptic number.

106807776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106807776 is an abundant number, since it is smaller than the sum of its proper divisors (173562888).

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

106807776 is a wasteful number, since it uses less digits than its factorization.

106807776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112594 (or 1112586 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 42.

The square root of 106807776 is about 10334.7847582811. The cubic root of 106807776 is about 474.4614779651.

The spelling of 106807776 in words is "one hundred six million, eight hundred seven thousand, seven hundred seventy-six".