105015131214 has 32 divisors (see below), whose sum is σ = 240120550656. Its totient is φ = 29993577600.

The previous prime is 105015131189. The next prime is 105015131297. The reversal of 105015131214 is 412131510501.

It is a super-2 number, since 2×105015131214² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 328692 + ... + 563975.

It is an arithmetic number, because the mean of its divisors is an integer number (7503767208).

Almost surely, 2^105015131214 is an apocalyptic number.

105015131214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

105015131214 is an abundant number, since it is smaller than the sum of its proper divisors (135105419442).

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

105015131214 is a wasteful number, since it uses less digits than its factorization.

105015131214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895480.

The product of its (nonzero) digits is 600, while the sum is 24.

Adding to 105015131214 its reverse (412131510501), we get a palindrome (517146641715).

The spelling of 105015131214 in words is "one hundred five billion, fifteen million, one hundred thirty-one thousand, two hundred fourteen".