105100501200 has 120 divisors (see below), whose sum is σ = 336935333568. Its totient is φ = 28004874240.

The previous prime is 105100501171. The next prime is 105100501223. The reversal of 105100501200 is 2105001501.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×105100501200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 105100501200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1529992 + ... + 1597208.

Almost surely, 2^105100501200 is an apocalyptic number.

105100501200 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 105100501200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168467666784).

105100501200 is an abundant number, since it is smaller than the sum of its proper divisors (231834832368).

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

105100501200 is a wasteful number, since it uses less digits than its factorization.

105100501200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68541 (or 68530 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 15.

Adding to 105100501200 its reverse (2105001501), we get a palindrome (107205502701).

The spelling of 105100501200 in words is "one hundred five billion, one hundred million, five hundred one thousand, two hundred".