105251601000 has 256 divisors, whose sum is σ = 404167196160. Its totient is φ = 22206873600.

The previous prime is 105251600981. The next prime is 105251601011. The reversal of 105251601000 is 106152501.

It is a super-2 number, since 2×105251601000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 80232 + ... + 465768.

It is an arithmetic number, because the mean of its divisors is an integer number (1578778110).

Almost surely, 2^105251601000 is an apocalyptic number.

105251601000 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 105251601000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202083598080).

105251601000 is an abundant number, since it is smaller than the sum of its proper divisors (298915595160).

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

105251601000 is a wasteful number, since it uses less digits than its factorization.

105251601000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385581 (or 385567 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 21.

Adding to 105251601000 its reverse (106152501), we get a palindrome (105357753501).

The spelling of 105251601000 in words is "one hundred five billion, two hundred fifty-one million, six hundred one thousand".