101106202404965 has 16 divisors (see below), whose sum is σ = 125512116436080. Its totient is φ = 78095222607360.

The previous prime is 101106202404923. The next prime is 101106202404971. The reversal of 101106202404965 is 569404202601101.

It is a Cunningham number, because it is equal to 10055158²+1.

It can be written as a sum of positive squares in 8 ways, for example, as 26654689701124 + 74451512703841 = 5162818^2 + 8628529^2 .

It is not a de Polignac number, because 101106202404965 - 2⁶ = 101106202404901 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16640075 + ... + 21888455.

It is an arithmetic number, because the mean of its divisors is an integer number (7844507277255).

Almost surely, 2^{101106202404965} is an apocalyptic number.

It is an amenable number.

101106202404965 is a deficient number, since it is larger than the sum of its proper divisors (24405914031115).

101106202404965 is a wasteful number, since it uses less digits than its factorization.

101106202404965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5381272.

The product of its (nonzero) digits is 103680, while the sum is 41.

The spelling of 101106202404965 in words is "one hundred one trillion, one hundred six billion, two hundred two million, four hundred four thousand, nine hundred sixty-five".