105050661228480 has 672 divisors, whose sum is σ = 389516751348480. Its totient is φ = 23900932915200.

The previous prime is 105050661228433. The next prime is 105050661228511. The reversal of 105050661228480 is 84822166050501.

It is a super-2 number, since 2×105050661228480² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 235930860 + ... + 236375700.

It is an arithmetic number, because the mean of its divisors is an integer number (579638022840).

Almost surely, 2^{105050661228480} is an apocalyptic number.

105050661228480 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 105050661228480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194758375674240).

105050661228480 is an abundant number, since it is smaller than the sum of its proper divisors (284466090120000).

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

105050661228480 is a wasteful number, since it uses less digits than its factorization.

105050661228480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445009 (or 444988 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 48.

The spelling of 105050661228480 in words is "one hundred five trillion, fifty billion, six hundred sixty-one million, two hundred twenty-eight thousand, four hundred eighty".