105450450138 has 48 divisors (see below), whose sum is σ = 249439297536. Its totient is φ = 31929966720.

The previous prime is 105450450137. The next prime is 105450450143. The reversal of 105450450138 is 831054054501.

105450450138 is a `hidden beast` number, since 10 + 5 + 4 + 504 + 5 + 0 + 138 = 666.

It is a super-2 number, since 2×105450450138² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105450450137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51495 + ... + 462117.

It is an arithmetic number, because the mean of its divisors is an integer number (5196652032).

Almost surely, 2^105450450138 is an apocalyptic number.

105450450138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

105450450138 is an abundant number, since it is smaller than the sum of its proper divisors (143988847398).

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

105450450138 is a wasteful number, since it uses less digits than its factorization.

105450450138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411939 (or 411936 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 105450450138 in words is "one hundred five billion, four hundred fifty million, four hundred fifty thousand, one hundred thirty-eight".