100105100011056 has 480 divisors, whose sum is σ = 319530498167808. Its totient is φ = 26442260398080.

The previous prime is 100105100011013. The next prime is 100105100011057. The reversal of 100105100011056 is 650110001501001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (100105100011057) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4578733981 + ... + 4578755843.

Almost surely, 2^{100105100011056} is an apocalyptic number.

100105100011056 is a gapful number since it is divisible by the number (16) 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 100105100011056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159765249083904).

100105100011056 is an abundant number, since it is smaller than the sum of its proper divisors (219425398156752).

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

100105100011056 is a wasteful number, since it uses less digits than its factorization.

100105100011056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22749 (or 22726 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 21.

Adding to 100105100011056 its reverse (650110001501001), we get a palindrome (750215101512057).

The spelling of 100105100011056 in words is "one hundred trillion, one hundred five billion, one hundred million, eleven thousand, fifty-six".