105001200 has 90 divisors (see below), whose sum is σ = 364395824. Its totient is φ = 27999360.

The previous prime is 105001181. The next prime is 105001213. The reversal of 105001200 is 2100501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×105001200² = 22050504002880000, 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 polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10984 + ... + 18183.

Almost surely, 2^105001200 is an apocalyptic number.

105001200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105001200 is an abundant number, since it is smaller than the sum of its proper divisors (259394624).

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

105001200 is a wasteful number, since it uses less digits than its factorization.

105001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29191 (or 29177 counting only the distinct ones).

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

The square root of 105001200 is about 10247.0093197967. The cubic root of 105001200 is about 471.7711952416.

Adding to 105001200 its reverse (2100501), we get a palindrome (107101701).

The spelling of 105001200 in words is "one hundred five million, one thousand, two hundred".