100561643351 has 16 divisors (see below), whose sum is σ = 110695794048. Its totient is φ = 90773529600.

The previous prime is 100561643327. The next prime is 100561643363. The reversal of 100561643351 is 153346165001.

It is a de Polignac number, because none of the positive numbers 2^k-100561643351 is a prime.

It is a super-3 number, since 3×100561643351³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100561643321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 651911 + ... + 791271.

It is an arithmetic number, because the mean of its divisors is an integer number (6918487128).

Almost surely, 2^100561643351 is an apocalyptic number.

100561643351 is a deficient number, since it is larger than the sum of its proper divisors (10134150697).

100561643351 is a wasteful number, since it uses less digits than its factorization.

100561643351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140602.

The product of its (nonzero) digits is 32400, while the sum is 35.

The spelling of 100561643351 in words is "one hundred billion, five hundred sixty-one million, six hundred forty-three thousand, three hundred fifty-one".