105055601000 has 64 divisors (see below), whose sum is σ = 280948711680. Its totient is φ = 36019060800.

The previous prime is 105055600981. The next prime is 105055601009. The reversal of 105055601000 is 106550501.

It is a super-2 number, since 2×105055601000² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105055601009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7496972 + ... + 7510971.

It is an arithmetic number, because the mean of its divisors is an integer number (4389823620).

Almost surely, 2^105055601000 is an apocalyptic number.

105055601000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105055601000 is an abundant number, since it is smaller than the sum of its proper divisors (175893110680).

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

105055601000 is a wasteful number, since it uses less digits than its factorization.

105055601000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15007971 (or 15007957 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 23.

The spelling of 105055601000 in words is "one hundred five billion, fifty-five million, six hundred one thousand".