106268560945 has 96 divisors (see below), whose sum is σ = 147137347584. Its totient is φ = 73440259200.

The previous prime is 106268560927. The next prime is 106268560949. The reversal of 106268560945 is 549065862601.

It is not a de Polignac number, because 106268560945 - 2⁵ = 106268560913 is a prime.

It is a super-2 number, since 2×106268560945² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106268560892 and 106268560901.

It is not an unprimeable number, because it can be changed into a prime (106268560949) 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, 91373934 + ... + 91375096.

It is an arithmetic number, because the mean of its divisors is an integer number (1532680704).

Almost surely, 2^106268560945 is an apocalyptic number.

It is an amenable number.

106268560945 is a deficient number, since it is larger than the sum of its proper divisors (40868786639).

106268560945 is a wasteful number, since it uses less digits than its factorization.

106268560945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1331 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 52.

The spelling of 106268560945 in words is "one hundred six billion, two hundred sixty-eight million, five hundred sixty thousand, nine hundred forty-five".