105572141388 has 432 divisors, whose sum is σ = 340952242176. Its totient is φ = 26859755520.

The previous prime is 105572141383. The next prime is 105572141407. The reversal of 105572141388 is 883141275501.

105572141388 is a `hidden beast` number, since 1 + 0 + 5 + 57 + 214 + 1 + 388 = 666.

It is a super-2 number, since 2×105572141388² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (105572141383) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 373046295 + ... + 373046577.

Almost surely, 2^105572141388 is an apocalyptic number.

105572141388 is a gapful number since it is divisible by the number (18) 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 105572141388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170476121088).

105572141388 is an abundant number, since it is smaller than the sum of its proper divisors (235380100788).

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

105572141388 is a wasteful number, since it uses less digits than its factorization.

105572141388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 105572141388 in words is "one hundred five billion, five hundred seventy-two million, one hundred forty-one thousand, three hundred eighty-eight".