105651641088 has 432 divisors, whose sum is σ = 362615542016. Its totient is φ = 30053928960.

The previous prime is 105651641071. The next prime is 105651641143. The reversal of 105651641088 is 880146156501.

105651641088 is a `hidden beast` number, since 1 + 0 + 56 + 516 + 4 + 1 + 0 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×105651641088² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 144135570 + ... + 144136302.

Almost surely, 2^105651641088 is an apocalyptic number.

105651641088 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 105651641088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181307771008).

105651641088 is an abundant number, since it is smaller than the sum of its proper divisors (256963900928).

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

105651641088 is an frugal number, since it uses more digits than its factorization.

105651641088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

Adding to 105651641088 its reverse (880146156501), we get a palindrome (985797797589).

It can be divided in two parts, 10565 and 1641088, that added together give a triangular number (1651653 = T₁₈₁₇).

The spelling of 105651641088 in words is "one hundred five billion, six hundred fifty-one million, six hundred forty-one thousand, eighty-eight".