106655010561 has 96 divisors (see below), whose sum is σ = 177254977536. Its totient is φ = 61205760000.

The previous prime is 106655010547. The next prime is 106655010587. The reversal of 106655010561 is 165010556601.

It is not a de Polignac number, because 106655010561 - 2⁵ = 106655010529 is a prime.

It is a super-2 number, since 2×106655010561² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106655010061) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 92662336 + ... + 92663486.

It is an arithmetic number, because the mean of its divisors is an integer number (1846406016).

Almost surely, 2^106655010561 is an apocalyptic number.

106655010561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106655010561 is a deficient number, since it is larger than the sum of its proper divisors (70599966975).

106655010561 is a wasteful number, since it uses less digits than its factorization.

106655010561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1863 (or 1860 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 106655010561 in words is "one hundred six billion, six hundred fifty-five million, ten thousand, five hundred sixty-one".