105887056572 has 144 divisors (see below), whose sum is σ = 304668803712. Its totient is φ = 31889609280.

The previous prime is 105887056571. The next prime is 105887056589. The reversal of 105887056572 is 275650788501.

105887056572 is a `hidden beast` number, since 1 + 0 + 5 + 8 + 8 + 7 + 0 + 565 + 72 = 666.

It is a super-2 number, since 2×105887056572² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105887056571) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1712418 + ... + 1773174.

Almost surely, 2^105887056572 is an apocalyptic number.

105887056572 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 105887056572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152334401856).

105887056572 is an abundant number, since it is smaller than the sum of its proper divisors (198781747140).

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

105887056572 is a wasteful number, since it uses less digits than its factorization.

105887056572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60950 (or 60936 counting only the distinct ones).

The product of its (nonzero) digits is 4704000, while the sum is 54.

It can be divided in two parts, 105887056 and 572, that added together give a triangular number (105887628 = T₁₄₅₅₂).

The spelling of 105887056572 in words is "one hundred five billion, eight hundred eighty-seven million, fifty-six thousand, five hundred seventy-two".