11060105505100 has 72 divisors (see below), whose sum is σ = 24244856542368. Its totient is φ = 4379011008000.

The previous prime is 11060105505089. The next prime is 11060105505149. The reversal of 11060105505100 is 150550106011.

It is a super-2 number, since 2×11060105505100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36278904 + ... + 36582496.

It is an arithmetic number, because the mean of its divisors is an integer number (336734118644).

Almost surely, 2^{11060105505100} is an apocalyptic number.

11060105505100 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 11060105505100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12122428271184).

11060105505100 is an abundant number, since it is smaller than the sum of its proper divisors (13184751037268).

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

11060105505100 is a wasteful number, since it uses less digits than its factorization.

11060105505100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307315 (or 307308 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 25.

The spelling of 11060105505100 in words is "eleven trillion, sixty billion, one hundred five million, five hundred five thousand, one hundred".