105201401200 has 120 divisors (see below), whose sum is σ = 289875855488. Its totient is φ = 35941328640.

The previous prime is 105201401177. The next prime is 105201401203. The reversal of 105201401200 is 2104102501.

It is a super-2 number, since 2×105201401200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105201401203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 726019 + ... + 858781.

Almost surely, 2^105201401200 is an apocalyptic number.

105201401200 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 105201401200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144937927744).

105201401200 is an abundant number, since it is smaller than the sum of its proper divisors (184674454288).

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

105201401200 is a wasteful number, since it uses less digits than its factorization.

105201401200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133071 (or 133060 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

Adding to 105201401200 its reverse (2104102501), we get a palindrome (107305503701).

The spelling of 105201401200 in words is "one hundred five billion, two hundred one million, four hundred one thousand, two hundred".