105787520850 has 48 divisors (see below), whose sum is σ = 286203333600. Its totient is φ = 25645459200.

The previous prime is 105787520849. The next prime is 105787520851. The reversal of 105787520850 is 58025787501.

It is an interprime number because it is at equal distance from previous prime (105787520849) and next prime (105787520851).

It is a super-2 number, since 2×105787520850² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105787520850.

It is not an unprimeable number, because it can be changed into a prime (105787520851) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 32055175 + ... + 32058474.

It is an arithmetic number, because the mean of its divisors is an integer number (5962569450).

Almost surely, 2^105787520850 is an apocalyptic number.

105787520850 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105787520850 is an abundant number, since it is smaller than the sum of its proper divisors (180415812750).

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

105787520850 is a wasteful number, since it uses less digits than its factorization.

105787520850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64113675 (or 64113670 counting only the distinct ones).

The product of its (nonzero) digits is 784000, while the sum is 48.

The spelling of 105787520850 in words is "one hundred five billion, seven hundred eighty-seven million, five hundred twenty thousand, eight hundred fifty".