100567641408 has 112 divisors (see below), whose sum is σ = 289183023360. Its totient is φ = 30659917824.

The previous prime is 100567641373. The next prime is 100567641409. The reversal of 100567641408 is 804146765001.

It is a super-2 number, since 2×100567641408² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100567641408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100567641409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87241 + ... + 456887.

It is an arithmetic number, because the mean of its divisors is an integer number (2581991280).

Almost surely, 2^100567641408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100567641408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144591511680).

100567641408 is an abundant number, since it is smaller than the sum of its proper divisors (188615381952).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100567641408 is a wasteful number, since it uses less digits than its factorization.

100567641408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369784 (or 369774 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 100567641408 in words is "one hundred billion, five hundred sixty-seven million, six hundred forty-one thousand, four hundred eight".