100055006100 has 324 divisors, whose sum is σ = 370275613344. Its totient is φ = 22527711360.

The previous prime is 100055006063. The next prime is 100055006113. The reversal of 100055006100 is 1600550001.

100055006100 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 5 + 50 + 0 + 610 + 0 = 666.

It is a super-2 number, since 2×100055006100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2937769 + ... + 2971631.

Almost surely, 2^100055006100 is an apocalyptic number.

100055006100 is a gapful number since it is divisible by the number (10) 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 100055006100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185137806672).

100055006100 is an abundant number, since it is smaller than the sum of its proper divisors (270220607244).

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

100055006100 is a wasteful number, since it uses less digits than its factorization.

100055006100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33964 (or 33947 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

Adding to 100055006100 its reverse (1600550001), we get a palindrome (101655556101).

It can be divided in two parts, 10005 and 5006100, that added together give a palindrome (5016105).

The spelling of 100055006100 in words is "one hundred billion, fifty-five million, six thousand, one hundred".