105313541400450 has 96 divisors (see below), whose sum is σ = 290199445600320. Its totient is φ = 28083404764800.

The previous prime is 105313541400437. The next prime is 105313541400469. The reversal of 105313541400450 is 54004145313501.

105313541400450 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 13 + 54 + 140 + 0 + 450 = 666.

It is a super-2 number, since 2×105313541400450² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 300479310 + ... + 300829590.

It is an arithmetic number, because the mean of its divisors is an integer number (3022910891670).

Almost surely, 2^{105313541400450} is an apocalyptic number.

105313541400450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105313541400450 is an abundant number, since it is smaller than the sum of its proper divisors (184885904199870).

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

105313541400450 is a wasteful number, since it uses less digits than its factorization.

105313541400450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573009 (or 572998 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 105313541400450 its reverse (54004145313501), we get a palindrome (159317686713951).

The spelling of 105313541400450 in words is "one hundred five trillion, three hundred thirteen billion, five hundred forty-one million, four hundred thousand, four hundred fifty".