106780976 has 20 divisors (see below), whose sum is σ = 207445800. Its totient is φ = 53246592.

The previous prime is 106780943. The next prime is 106780979. The reversal of 106780976 is 679087601.

It is a super-2 number, since 2×106780976² = 22804353671025152, which contains 22 as substring.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (106780979) 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, 2741 + ... + 14868.

It is an arithmetic number, because the mean of its divisors is an integer number (10372290).

Almost surely, 2^106780976 is an apocalyptic number.

106780976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106780976 is a deficient number, since it is larger than the sum of its proper divisors (100664824).

106780976 is a wasteful number, since it uses less digits than its factorization.

106780976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17996 (or 17990 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 44.

The square root of 106780976 is about 10333.4880848627. The cubic root of 106780976 is about 474.4217909943.

The spelling of 106780976 in words is "one hundred six million, seven hundred eighty thousand, nine hundred seventy-six".