100027066104 has 192 divisors, whose sum is σ = 334363140000. Its totient is φ = 27593588736.

The previous prime is 100027066067. The next prime is 100027066123. The reversal of 100027066104 is 401660720001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 143992 + ... + 469880.

Almost surely, 2^100027066104 is an apocalyptic number.

100027066104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100027066104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167181570000).

100027066104 is an abundant number, since it is smaller than the sum of its proper divisors (234336073896).

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

100027066104 is a wasteful number, since it uses less digits than its factorization.

100027066104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325947 (or 325930 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

Adding to 100027066104 its reverse (401660720001), we get a palindrome (501687786105).

The spelling of 100027066104 in words is "one hundred billion, twenty-seven million, sixty-six thousand, one hundred four".