105514300100 has 144 divisors (see below), whose sum is σ = 261692583936. Its totient is φ = 36576144000.

The previous prime is 105514300093. The next prime is 105514300121. The reversal of 105514300100 is 1003415501.

It is a super-2 number, since 2×105514300100² (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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2261609 + ... + 2307791.

Almost surely, 2^105514300100 is an apocalyptic number.

105514300100 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 105514300100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130846291968).

105514300100 is an abundant number, since it is smaller than the sum of its proper divisors (156178283836).

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

105514300100 is a wasteful number, since it uses less digits than its factorization.

105514300100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46306 (or 46299 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

Adding to 105514300100 its reverse (1003415501), we get a palindrome (106517715601).

The spelling of 105514300100 in words is "one hundred five billion, five hundred fourteen million, three hundred thousand, one hundred".