105239252835 has 112 divisors (see below), whose sum is σ = 192222849600. Its totient is φ = 55279521792.

The previous prime is 105239252819. The next prime is 105239252843. The reversal of 105239252835 is 538252932501.

105239252835 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 3 + 92 + 528 + 35 = 666.

It is a Cunningham number, because it is equal to 324406²-1.

It is not a de Polignac number, because 105239252835 - 2⁴ = 105239252819 is a prime.

It is a super-2 number, since 2×105239252835² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 114514506 + ... + 114515424.

Almost surely, 2^105239252835 is an apocalyptic number.

105239252835 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105239252835 is a deficient number, since it is larger than the sum of its proper divisors (86983596765).

105239252835 is an frugal number, since it uses more digits than its factorization.

105239252835 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1384 (or 1369 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 105239252835 in words is "one hundred five billion, two hundred thirty-nine million, two hundred fifty-two thousand, eight hundred thirty-five".