105450450140 has 96 divisors (see below), whose sum is σ = 265561390080. Its totient is φ = 34389121536.

The previous prime is 105450450137. The next prime is 105450450143. The reversal of 105450450140 is 41054054501.

It is an interprime number because it is at equal distance from previous prime (105450450137) and next prime (105450450143).

It is a super-2 number, since 2×105450450140² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105450450143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 484904 + ... + 667856.

It is an arithmetic number, because the mean of its divisors is an integer number (2766264480).

Almost surely, 2^105450450140 is an apocalyptic number.

105450450140 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 105450450140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132780695040).

105450450140 is an abundant number, since it is smaller than the sum of its proper divisors (160110939940).

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

105450450140 is a wasteful number, since it uses less digits than its factorization.

105450450140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183171 (or 183169 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 29.

The spelling of 105450450140 in words is "one hundred five billion, four hundred fifty million, four hundred fifty thousand, one hundred forty".