106776720 has 60 divisors (see below), whose sum is σ = 358594236. Its totient is φ = 28473600.

The previous prime is 106776707. The next prime is 106776731. The reversal of 106776720 is 27677601.

It can be written as a sum of positive squares in 2 ways, for example, as 28772496 + 78004224 = 5364^2 + 8832^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×106776720² = 22802535867916800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73431 + ... + 74870.

Almost surely, 2^106776720 is an apocalyptic number.

106776720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106776720 is an abundant number, since it is smaller than the sum of its proper divisors (251817516).

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

106776720 is a wasteful number, since it uses less digits than its factorization.

106776720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148320 (or 148311 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The square root of 106776720 is about 10333.2821504109. The cubic root of 106776720 is about 474.4154878554.

The spelling of 106776720 in words is "one hundred six million, seven hundred seventy-six thousand, seven hundred twenty".