106100055566065 has 64 divisors (see below), whose sum is σ = 144868448305152. Its totient is φ = 73897750540800.

The previous prime is 106100055566053. The next prime is 106100055566101. The reversal of 106100055566065 is 560665550001601.

It is not a de Polignac number, because 106100055566065 - 2⁷ = 106100055565937 is a prime.

It is a super-2 number, since 2×106100055566065² (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 251445492 + ... + 251867098.

It is an arithmetic number, because the mean of its divisors is an integer number (2263569504768).

Almost surely, 2^{106100055566065} is an apocalyptic number.

It is an amenable number.

106100055566065 is a deficient number, since it is larger than the sum of its proper divisors (38768392739087).

106100055566065 is a wasteful number, since it uses less digits than its factorization.

106100055566065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423190.

The product of its (nonzero) digits is 810000, while the sum is 46.

The spelling of 106100055566065 in words is "one hundred six trillion, one hundred billion, fifty-five million, five hundred sixty-six thousand, sixty-five".