105722954000 has 80 divisors (see below), whose sum is σ = 269092836480. Its totient is φ = 40063420800.

The previous prime is 105722953969. The next prime is 105722954033. The reversal of 105722954000 is 459227501.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×105722954000² (a number of 23 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 1353092 + ... + 1429091.

It is an arithmetic number, because the mean of its divisors is an integer number (3363660456).

Almost surely, 2^105722954000 is an apocalyptic number.

105722954000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105722954000 is an abundant number, since it is smaller than the sum of its proper divisors (163369882480).

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

105722954000 is a wasteful number, since it uses less digits than its factorization.

105722954000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2782225 (or 2782209 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 35.

The spelling of 105722954000 in words is "one hundred five billion, seven hundred twenty-two million, nine hundred fifty-four thousand".