100035220645665 has 192 divisors, whose sum is σ = 180567860159232. Its totient is φ = 51189795072000.

The previous prime is 100035220645583. The next prime is 100035220645687. The reversal of 100035220645665 is 566546022530001.

100035220645665 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 3 + 5 + 2 + 20 + 64 + 566 + 5 = 666.

It is not a de Polignac number, because 100035220645665 - 2¹² = 100035220641569 is a prime.

It is a super-3 number, since 3×100035220645665³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 100035220645665.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 70101765682 + ... + 70101767108.

It is an arithmetic number, because the mean of its divisors is an integer number (940457604996).

Almost surely, 2^{100035220645665} is an apocalyptic number.

100035220645665 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100035220645665 is a deficient number, since it is larger than the sum of its proper divisors (80532639513567).

100035220645665 is a wasteful number, since it uses less digits than its factorization.

100035220645665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2960 (or 2957 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 100035220645665 in words is "one hundred trillion, thirty-five billion, two hundred twenty million, six hundred forty-five thousand, six hundred sixty-five".