105133422520 has 128 divisors (see below), whose sum is σ = 277047014400. Its totient is φ = 35162366976.

The previous prime is 105133422517. The next prime is 105133422521. The reversal of 105133422520 is 25224331501.

It is a super-3 number, since 3×105133422520³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105133422521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1905076 + ... + 1959484.

It is an arithmetic number, because the mean of its divisors is an integer number (2164429800).

Almost surely, 2^105133422520 is an apocalyptic number.

105133422520 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 105133422520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138523507200).

105133422520 is an abundant number, since it is smaller than the sum of its proper divisors (171913591880).

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

105133422520 is a wasteful number, since it uses less digits than its factorization.

105133422520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54597 (or 54593 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The spelling of 105133422520 in words is "one hundred five billion, one hundred thirty-three million, four hundred twenty-two thousand, five hundred twenty".