105288387250 has 32 divisors (see below), whose sum is σ = 197193093552. Its totient is φ = 42095433600.

The previous prime is 105288387223. The next prime is 105288387277. The reversal of 105288387250 is 52783882501.

It is an interprime number because it is at equal distance from previous prime (105288387223) and next prime (105288387277).

It can be written as a sum of positive squares in 8 ways, for example, as 1989784449 + 103298602801 = 44607^2 + 321401^2 .

It is a super-2 number, since 2×105288387250² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105288387194 and 105288387203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 435712 + ... + 632788.

Almost surely, 2^105288387250 is an apocalyptic number.

105288387250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105288387250 is a deficient number, since it is larger than the sum of its proper divisors (91904706302).

105288387250 is a wasteful number, since it uses less digits than its factorization.

105288387250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199231 (or 199221 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 49.

The spelling of 105288387250 in words is "one hundred five billion, two hundred eighty-eight million, three hundred eighty-seven thousand, two hundred fifty".