106272770666601 has 96 divisors (see below), whose sum is σ = 183772345458688. Its totient is φ = 53416804320000.

The previous prime is 106272770666597. The next prime is 106272770666639. The reversal of 106272770666601 is 106666077272601.

It is not a de Polignac number, because 106272770666601 - 2² = 106272770666597 is a prime.

It is a super-2 number, since 2×106272770666601² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106272770666501) 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, 482047086 + ... + 482267496.

Almost surely, 2^{106272770666601} is an apocalyptic number.

106272770666601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106272770666601 is a deficient number, since it is larger than the sum of its proper divisors (77499574792087).

106272770666601 is a wasteful number, since it uses less digits than its factorization.

106272770666601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226595 (or 226584 counting only the distinct ones).

The product of its (nonzero) digits is 10668672, while the sum is 57.

The spelling of 106272770666601 in words is "one hundred six trillion, two hundred seventy-two billion, seven hundred seventy million, six hundred sixty-six thousand, six hundred one".