105554400532 has 48 divisors (see below), whose sum is σ = 217440010368. Its totient is φ = 43887968640.

The previous prime is 105554400521. The next prime is 105554400533. The reversal of 105554400532 is 235004455501.

It is a super-2 number, since 2×105554400532² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105554400533) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 212682 + ... + 506302.

It is an arithmetic number, because the mean of its divisors is an integer number (4530000216).

Almost surely, 2^105554400532 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 105554400532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108720005184).

105554400532 is an abundant number, since it is smaller than the sum of its proper divisors (111885609836).

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

105554400532 is a wasteful number, since it uses less digits than its factorization.

105554400532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294016 (or 294014 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 34.

The spelling of 105554400532 in words is "one hundred five billion, five hundred fifty-four million, four hundred thousand, five hundred thirty-two".