106776010 has 64 divisors (see below), whose sum is σ = 225607680. Its totient is φ = 35968320.

The previous prime is 106776001. The next prime is 106776011. The reversal of 106776010 is 10677601.

It is a super-2 number, since 2×106776010² = 22802232623040200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106776010.

It is not an unprimeable number, because it can be changed into a prime (106776011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97687 + ... + 98773.

It is an arithmetic number, because the mean of its divisors is an integer number (3525120).

Almost surely, 2^106776010 is an apocalyptic number.

106776010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106776010 is an abundant number, since it is smaller than the sum of its proper divisors (118831670).

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

106776010 is a wasteful number, since it uses less digits than its factorization.

106776010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1171.

The product of its (nonzero) digits is 1764, while the sum is 28.

The square root of 106776010 is about 10333.2477953449. The cubic root of 106776010 is about 474.4144363286.

It can be divided in two parts, 1067 and 76010, that added together give a palindrome (77077).

The spelling of 106776010 in words is "one hundred six million, seven hundred seventy-six thousand, ten".