106796567 has 16 divisors (see below), whose sum is σ = 119688192. Its totient is φ = 94765440.

The previous prime is 106796561. The next prime is 106796597. The reversal of 106796567 is 765697601.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-106796567 is a prime.

It is a super-2 number, since 2×106796567² = 22811013445970978, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106796561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25838 + ... + 29684.

It is an arithmetic number, because the mean of its divisors is an integer number (7480512).

Almost surely, 2^106796567 is an apocalyptic number.

106796567 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

106796567 is a deficient number, since it is larger than the sum of its proper divisors (12891625).

106796567 is a wasteful number, since it uses less digits than its factorization.

106796567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3958.

The product of its (nonzero) digits is 476280, while the sum is 47.

The square root of 106796567 is about 10334.2424492558. The cubic root of 106796567 is about 474.4448798454. Note that the first 3 decimals are identical.

The spelling of 106796567 in words is "one hundred six million, seven hundred ninety-six thousand, five hundred sixty-seven".