105201000 has 96 divisors (see below), whose sum is σ = 355609800. Its totient is φ = 28051200.

The previous prime is 105200989. The next prime is 105201017. The reversal of 105201000 is 102501.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 66487716 + 38713284 = 8154^2 + 6222^2 .

It is a super-2 number, since 2×105201000² = 22134500802000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 3156 + ... + 14844.

Almost surely, 2^105201000 is an apocalyptic number.

105201000 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 105201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177804900).

105201000 is an abundant number, since it is smaller than the sum of its proper divisors (250408800).

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

105201000 is a wasteful number, since it uses less digits than its factorization.

105201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11716 (or 11699 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 105201000 is about 10256.7538724491. The cubic root of 105201000 is about 472.0702399538.

Adding to 105201000 its reverse (102501), we get a palindrome (105303501).

The spelling of 105201000 in words is "one hundred five million, two hundred one thousand".