105011016100104 has 128 divisors (see below), whose sum is σ = 276924394137600. Its totient is φ = 33091880590080.

The previous prime is 105011016100093. The next prime is 105011016100141. The reversal of 105011016100104 is 401001610110501.

It is a super-2 number, since 2×105011016100104² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 502169889 + ... + 502378959.

It is an arithmetic number, because the mean of its divisors is an integer number (2163471829200).

Almost surely, 2^{105011016100104} 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 105011016100104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138462197068800).

105011016100104 is an abundant number, since it is smaller than the sum of its proper divisors (171913378037496).

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

105011016100104 is a wasteful number, since it uses less digits than its factorization.

105011016100104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211403 (or 211399 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 21.

Adding to 105011016100104 its reverse (401001610110501), we get a palindrome (506012626210605).

The spelling of 105011016100104 in words is "one hundred five trillion, eleven billion, sixteen million, one hundred thousand, one hundred four".