105101414300 has 72 divisors (see below), whose sum is σ = 238777686000. Its totient is φ = 40101752320.

The previous prime is 105101414269. The next prime is 105101414303. The reversal of 105101414300 is 3414101501.

It is a happy number.

It is a super-2 number, since 2×105101414300² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105101414303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22376 + ... + 459024.

It is an arithmetic number, because the mean of its divisors is an integer number (3316356750).

Almost surely, 2^105101414300 is an apocalyptic number.

105101414300 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 105101414300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119388843000).

105101414300 is an abundant number, since it is smaller than the sum of its proper divisors (133676271700).

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

105101414300 is a wasteful number, since it uses less digits than its factorization.

105101414300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436775 (or 436768 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 105101414300 its reverse (3414101501), we get a palindrome (108515515801).

The spelling of 105101414300 in words is "one hundred five billion, one hundred one million, four hundred fourteen thousand, three hundred".