100354104006 has 64 divisors (see below), whose sum is σ = 222472427520. Its totient is φ = 29987418240.

The previous prime is 100354103989. The next prime is 100354104007. The reversal of 100354104006 is 600401453001.

100354104006 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100354104007) 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 31 ways as a sum of consecutive naturals, for example, 242391 + ... + 509373.

It is an arithmetic number, because the mean of its divisors is an integer number (3476131680).

Almost surely, 2^100354104006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100354104006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111236213760).

100354104006 is an abundant number, since it is smaller than the sum of its proper divisors (122118323514).

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

100354104006 is a wasteful number, since it uses less digits than its factorization.

100354104006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267141.

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 100354104006 its reverse (600401453001), we get a palindrome (700755557007).

The spelling of 100354104006 in words is "one hundred billion, three hundred fifty-four million, one hundred four thousand, six".