106011010617 has 8 divisors (see below), whose sum is σ = 149662603296. Its totient is φ = 66516712512.

The previous prime is 106011010607. The next prime is 106011010673. The reversal of 106011010617 is 716010110601.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 106011010617 - 2⁸ = 106011010361 is a prime.

It is a super-2 number, since 2×106011010617² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106011010607) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1039323583 + ... + 1039323684.

It is an arithmetic number, because the mean of its divisors is an integer number (18707825412).

Almost surely, 2^106011010617 is an apocalyptic number.

106011010617 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

106011010617 is a deficient number, since it is larger than the sum of its proper divisors (43651592679).

106011010617 is a wasteful number, since it uses less digits than its factorization.

106011010617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2078647287.

The product of its (nonzero) digits is 252, while the sum is 24.

The spelling of 106011010617 in words is "one hundred six billion, eleven million, ten thousand, six hundred seventeen".