106820776 has 32 divisors (see below), whose sum is σ = 206397000. Its totient is φ = 51791616.

The previous prime is 106820743. The next prime is 106820789. The reversal of 106820776 is 677028601.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 102535876 + 4284900 = 10126^2 + 2070^2 .

It is a super-2 number, since 2×106820776² = 22821356370484352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 150310 + ... + 151018.

Almost surely, 2^106820776 is an apocalyptic number.

It is an amenable number.

106820776 is a deficient number, since it is larger than the sum of its proper divisors (99576224).

106820776 is a wasteful number, since it uses less digits than its factorization.

106820776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261 (or 1257 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 37.

The square root of 106820776 is about 10335.4136830608. The cubic root of 106820776 is about 474.4807267165.

The spelling of 106820776 in words is "one hundred six million, eight hundred twenty thousand, seven hundred seventy-six".