105477120000 has 1120 divisors, whose sum is σ = 450388329600. Its totient is φ = 23887872000.

The previous prime is 105477119999. The next prime is 105477120017. The reversal of 105477120000 is 21774501.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a super-2 number, since 2×105477120000² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 79 ways as a sum of consecutive naturals, for example, 967679946 + ... + 967680054.

Almost surely, 2^105477120000 is an apocalyptic number.

105477120000 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 105477120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225194164800).

105477120000 is an abundant number, since it is smaller than the sum of its proper divisors (344911209600).

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

105477120000 is an frugal number, since it uses more digits than its factorization.

105477120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

Adding to 105477120000 its reverse (21774501), we get a palindrome (105498894501).

The spelling of 105477120000 in words is "one hundred five billion, four hundred seventy-seven million, one hundred twenty thousand".