105001000 has 128 divisors (see below), whose sum is σ = 272432160. Its totient is φ = 37632000.

The previous prime is 105000997. The next prime is 105001007. The reversal of 105001000 is 100501.

It can be written as a sum of positive squares in 16 ways, for example, as 13645636 + 91355364 = 3694^2 + 9558^2 .

It is a super-2 number, since 2×105001000² = 22050420002000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105001007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 532902 + ... + 533098.

Almost surely, 2^105001000 is an apocalyptic number.

105001000 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 105001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136216080).

105001000 is an abundant number, since it is smaller than the sum of its proper divisors (167431160).

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

105001000 is a wasteful number, since it uses less digits than its factorization.

105001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 7.

The square root of 105001000 is about 10246.9995608471. Note that the first 3 decimals coincide. The cubic root of 105001000 is about 471.7708957075.

Adding to 105001000 its reverse (100501), we get a palindrome (105101501).

The spelling of 105001000 in words is "one hundred five million, one thousand".