105409824975 has 324 divisors, whose sum is σ = 246816073296. Its totient is φ = 42101130240.

The previous prime is 105409824943. The next prime is 105409824983. The reversal of 105409824975 is 579428904501.

It is a happy number.

105409824975 is a `hidden beast` number, since 1 + 0 + 540 + 9 + 8 + 2 + 4 + 97 + 5 = 666.

It is not a de Polignac number, because 105409824975 - 2⁵ = 105409824943 is a prime.

It is a super-2 number, since 2×105409824975² (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 323 ways as a sum of consecutive naturals, for example, 96088627 + ... + 96089723.

It is an arithmetic number, because the mean of its divisors is an integer number (761778004).

Almost surely, 2^105409824975 is an apocalyptic number.

105409824975 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105409824975 is an abundant number, since it is smaller than the sum of its proper divisors (141406248321).

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

105409824975 is a wasteful number, since it uses less digits than its factorization.

105409824975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 105409824975 in words is "one hundred five billion, four hundred nine million, eight hundred twenty-four thousand, nine hundred seventy-five".