105058594144 has 24 divisors (see below), whose sum is σ = 236381837328. Its totient is φ = 45025111680.

The previous prime is 105058594127. The next prime is 105058594159. The reversal of 105058594144 is 441495850501.

It is a super-2 number, since 2×105058594144² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105058594094 and 105058594103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 234505567 + ... + 234506014.

It is an arithmetic number, because the mean of its divisors is an integer number (9849243222).

Almost surely, 2^105058594144 is an apocalyptic number.

105058594144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105058594144 is an abundant number, since it is smaller than the sum of its proper divisors (131323243184).

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

105058594144 is an equidigital number, since it uses as much as digits as its factorization.

105058594144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469011598 (or 469011590 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 46.

The spelling of 105058594144 in words is "one hundred five billion, fifty-eight million, five hundred ninety-four thousand, one hundred forty-four".