107050844160 has 1200 divisors, whose sum is σ = 443614325616. Its totient is φ = 24461180928.

The previous prime is 107050844149. The next prime is 107050844161. The reversal of 107050844160 is 61448050701.

It is a happy number.

107050844160 is a `hidden beast` number, since 107 + 0 + 50 + 8 + 441 + 60 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 764411904 + 106286432256 = 27648^2 + 326016^2 .

It is a super-2 number, since 2×107050844160² (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 not an unprimeable number, because it can be changed into a prime (107050844161) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 1466449884 + ... + 1466449956.

Almost surely, 2^107050844160 is an apocalyptic number.

107050844160 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 107050844160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221807162808).

107050844160 is an abundant number, since it is smaller than the sum of its proper divisors (336563481456).

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

107050844160 is an equidigital number, since it uses as much as digits as its factorization.

107050844160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

Adding to 107050844160 its reverse (61448050701), we get a palindrome (168498894861).

The spelling of 107050844160 in words is "one hundred seven billion, fifty million, eight hundred forty-four thousand, one hundred sixty".