100105100510100 has 432 divisors, whose sum is σ = 343163422385280. Its totient is φ = 22460331801600.

The previous prime is 100105100510087. The next prime is 100105100510101. The reversal of 100105100510100 is 1015001501001.

100105100510100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100105100510100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100105100510100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100105100510101) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 238797882 + ... + 239216718.

It is an arithmetic number, because the mean of its divisors is an integer number (794359774040).

Almost surely, 2^{100105100510100} is an apocalyptic number.

100105100510100 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 100105100510100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171581711192640).

100105100510100 is an abundant number, since it is smaller than the sum of its proper divisors (243058321875180).

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

100105100510100 is a wasteful number, since it uses less digits than its factorization.

100105100510100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419168 (or 419154 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 15.

Subtracting from 100105100510100 its reverse (1015001501001), we obtain a palindrome (99090099009099).

The spelling of 100105100510100 in words is "one hundred trillion, one hundred five billion, one hundred million, five hundred ten thousand, one hundred".