106612776 has 24 divisors (see below), whose sum is σ = 288743130. Its totient is φ = 35537568.

The previous prime is 106612757. The next prime is 106612789. The reversal of 106612776 is 677216601.

It can be written as a sum of positive squares in only one way, i.e., 83283876 + 23328900 = 9126^2 + 4830^2 .

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

It is a super-2 number, since 2×106612776² = 22732568012852352, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 106612776.

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 5 ways as a sum of consecutive naturals, for example, 740295 + ... + 740438.

Almost surely, 2^106612776 is an apocalyptic number.

It is an amenable number.

106612776 is an abundant number, since it is smaller than the sum of its proper divisors (182130354).

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

106612776 is a wasteful number, since it uses less digits than its factorization.

106612776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1480745 (or 1480738 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 106612776 is about 10325.3462895924. The cubic root of 106612776 is about 474.1725590814.

The spelling of 106612776 in words is "one hundred six million, six hundred twelve thousand, seven hundred seventy-six".