105278976000 has 1248 divisors, whose sum is σ = 433755518976. Its totient is φ = 24330240000.

The previous prime is 105278975987. The next prime is 105278976001. The reversal of 105278976000 is 679872501.

105278976000 is a `hidden beast` number, since 10 + 5 + 27 + 8 + 9 + 7 + 600 + 0 = 666.

It is a super-2 number, since 2×105278976000² (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 not an unprimeable number, because it can be changed into a prime (105278976001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1571327967 + ... + 1571328033.

It is an arithmetic number, because the mean of its divisors is an integer number (347560512).

Almost surely, 2^105278976000 is an apocalyptic number.

105278976000 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 105278976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216877759488).

105278976000 is an abundant number, since it is smaller than the sum of its proper divisors (328476542976).

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

105278976000 is a wasteful number, since it uses less digits than its factorization.

105278976000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 105278976000 in words is "one hundred five billion, two hundred seventy-eight million, nine hundred seventy-six thousand".