100030961664 has 576 divisors, whose sum is σ = 321965280000. Its totient is φ = 30934794240.

The previous prime is 100030961627. The next prime is 100030961669. The reversal of 100030961664 is 466169030001.

100030961664 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 30 + 9 + 616 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100030961669) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 671348662 + ... + 671348810.

It is an arithmetic number, because the mean of its divisors is an integer number (558967500).

Almost surely, 2^100030961664 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 100030961664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160982640000).

100030961664 is an abundant number, since it is smaller than the sum of its proper divisors (221934318336).

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

100030961664 is an equidigital number, since it uses as much as digits as its factorization.

100030961664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

Adding to 100030961664 its reverse (466169030001), we get a palindrome (566199991665).

The spelling of 100030961664 in words is "one hundred billion, thirty million, nine hundred sixty-one thousand, six hundred sixty-four".