105552302160 has 160 divisors (see below), whose sum is σ = 329415166080. Its totient is φ = 27958247424.

The previous prime is 105552302159. The next prime is 105552302209. The reversal of 105552302160 is 61203255501.

It is a happy number.

It is a super-2 number, since 2×105552302160² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 39694911 + ... + 39697569.

It is an arithmetic number, because the mean of its divisors is an integer number (2058844788).

Almost surely, 2^105552302160 is an apocalyptic number.

105552302160 is a gapful number since it is divisible by the number (10) 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 105552302160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164707583040).

105552302160 is an abundant number, since it is smaller than the sum of its proper divisors (223862863920).

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

105552302160 is a wasteful number, since it uses less digits than its factorization.

105552302160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3725 (or 3719 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

Adding to 105552302160 its reverse (61203255501), we get a palindrome (166755557661).

The spelling of 105552302160 in words is "one hundred five billion, five hundred fifty-two million, three hundred two thousand, one hundred sixty".