100129635550404 has 108 divisors (see below), whose sum is σ = 260361030400380. Its totient is φ = 32442176279040.

The previous prime is 100129635550381. The next prime is 100129635550457. The reversal of 100129635550404 is 404055536921001.

It is a happy number.

100129635550404 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 2 + 9 + 635 + 5 + 5 + 0 + 4 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14684607202500 + 85445028347904 = 3832050^2 + 9243648^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 100129635550404.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6664264 + ... + 15641984.

It is an arithmetic number, because the mean of its divisors is an integer number (2410750281485).

Almost surely, 2^{100129635550404} 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 100129635550404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130180515200190).

100129635550404 is an abundant number, since it is smaller than the sum of its proper divisors (160231394849976).

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

100129635550404 is a wasteful number, since it uses less digits than its factorization.

100129635550404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8977938 (or 8977874 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 100129635550404 in words is "one hundred trillion, one hundred twenty-nine billion, six hundred thirty-five million, five hundred fifty thousand, four hundred four".