105055937280 has 1296 divisors, whose sum is σ = 449619285024. Its totient is φ = 23410114560.

The previous prime is 105055937267. The next prime is 105055937303. The reversal of 105055937280 is 82739550501.

105055937280 is a `hidden beast` number, since 1 + 0 + 50 + 5 + 593 + 7 + 2 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-2 number, since 2×105055937280² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 929698504 + ... + 929698616.

Almost surely, 2^105055937280 is an apocalyptic number.

105055937280 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 105055937280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224809642512).

105055937280 is an abundant number, since it is smaller than the sum of its proper divisors (344563347744).

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

105055937280 is an equidigital number, since it uses as much as digits as its factorization.

105055937280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The spelling of 105055937280 in words is "one hundred five billion, fifty-five million, nine hundred thirty-seven thousand, two hundred eighty".