105030140450200 has 96 divisors (see below), whose sum is σ = 286622792690400. Its totient is φ = 35037081584640.

The previous prime is 105030140450173. The next prime is 105030140450233. The reversal of 105030140450200 is 2054041030501.

It is a happy number.

It is a super-2 number, since 2×105030140450200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 1013752645 + ... + 1013856244.

It is an arithmetic number, because the mean of its divisors is an integer number (2985654090525).

Almost surely, 2^{105030140450200} is an apocalyptic number.

105030140450200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105030140450200 is an abundant number, since it is smaller than the sum of its proper divisors (181592652240200).

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

105030140450200 is a wasteful number, since it uses less digits than its factorization.

105030140450200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2027608949 (or 2027608940 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 105030140450200 its reverse (2054041030501), we get a palindrome (107084181480701).

The spelling of 105030140450200 in words is "one hundred five trillion, thirty billion, one hundred forty million, four hundred fifty thousand, two hundred".