100061648667 has 12 divisors (see below), whose sum is σ = 144562470000. Its totient is φ = 66694391568.

The previous prime is 100061648647. The next prime is 100061648707. The reversal of 100061648667 is 766846160001.

100061648667 is a `hidden beast` number, since 100 + 0 + 6 + 1 + 6 + 486 + 67 = 666.

It is not a de Polignac number, because 100061648667 - 2³⁵ = 65701910299 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100061648647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1067028 + ... + 1157009.

It is an arithmetic number, because the mean of its divisors is an integer number (12046872500).

Almost surely, 2^100061648667 is an apocalyptic number.

100061648667 is a deficient number, since it is larger than the sum of its proper divisors (44500821333).

100061648667 is a wasteful number, since it uses less digits than its factorization.

100061648667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2229042 (or 2229039 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 100061648667 in words is "one hundred billion, sixty-one million, six hundred forty-eight thousand, six hundred sixty-seven".