105010601000 has 64 divisors (see below), whose sum is σ = 251439439680. Its totient is φ = 41027380800.

The previous prime is 105010600999. The next prime is 105010601053. The reversal of 105010601000 is 106010501.

It is a super-2 number, since 2×105010601000² (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 (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1178054 + ... + 1264053.

It is an arithmetic number, because the mean of its divisors is an integer number (3928741245).

Almost surely, 2^105010601000 is an apocalyptic number.

105010601000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105010601000 is an abundant number, since it is smaller than the sum of its proper divisors (146428838680).

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

105010601000 is a wasteful number, since it uses less digits than its factorization.

105010601000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2442171 (or 2442157 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 14.

Adding to 105010601000 its reverse (106010501), we get a palindrome (105116611501).

The spelling of 105010601000 in words is "one hundred five billion, ten million, six hundred one thousand".