106461145617 has 16 divisors (see below), whose sum is σ = 142962019200. Its totient is φ = 70467592832.

The previous prime is 106461145607. The next prime is 106461145619. The reversal of 106461145617 is 716541164601.

It is a cyclic number.

It is not a de Polignac number, because 106461145617 - 2⁷ = 106461145489 is a prime.

It is a super-2 number, since 2×106461145617² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106461145619) 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, 1019908 + ... + 1119434.

It is an arithmetic number, because the mean of its divisors is an integer number (8935126200).

Almost surely, 2^106461145617 is an apocalyptic number.

It is an amenable number.

106461145617 is a deficient number, since it is larger than the sum of its proper divisors (36500873583).

106461145617 is a wasteful number, since it uses less digits than its factorization.

106461145617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102072.

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 106461145617 in words is "one hundred six billion, four hundred sixty-one million, one hundred forty-five thousand, six hundred seventeen".