105450140100 has 144 divisors (see below), whose sum is σ = 322399365120. Its totient is φ = 26556816000.

The previous prime is 105450140099. The next prime is 105450140137. The reversal of 105450140100 is 1041054501.

It is a super-2 number, since 2×105450140100² (a number of 23 digits) contains 22 as substring.

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, 448375 + ... + 641825.

It is an arithmetic number, because the mean of its divisors is an integer number (2238884480).

Almost surely, 2^105450140100 is an apocalyptic number.

105450140100 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 105450140100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161199682560).

105450140100 is an abundant number, since it is smaller than the sum of its proper divisors (216949225020).

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

105450140100 is a wasteful number, since it uses less digits than its factorization.

105450140100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193570 (or 193563 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

Adding to 105450140100 its reverse (1041054501), we get a palindrome (106491194601).

The spelling of 105450140100 in words is "one hundred five billion, four hundred fifty million, one hundred forty thousand, one hundred".