105539401332 has 144 divisors (see below), whose sum is σ = 278664527232. Its totient is φ = 34926059520.

The previous prime is 105539401291. The next prime is 105539401379. The reversal of 105539401332 is 233104935501.

105539401332 is a `hidden beast` number, since 1 + 0 + 553 + 94 + 0 + 13 + 3 + 2 = 666.

It is a super-2 number, since 2×105539401332² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 145170753 + ... + 145171479.

It is an arithmetic number, because the mean of its divisors is an integer number (1935170328).

Almost surely, 2^105539401332 is an apocalyptic number.

105539401332 is a gapful number since it is divisible by the number (12) 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 105539401332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139332263616).

105539401332 is an abundant number, since it is smaller than the sum of its proper divisors (173125125900).

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

105539401332 is a wasteful number, since it uses less digits than its factorization.

105539401332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1620 (or 1606 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The spelling of 105539401332 in words is "one hundred five billion, five hundred thirty-nine million, four hundred one thousand, three hundred thirty-two".