105370327010 has 128 divisors (see below), whose sum is σ = 221794179264. Its totient is φ = 35693199360.

The previous prime is 105370326991. The next prime is 105370327039. The reversal of 105370327010 is 10723073501.

It can be written as a sum of positive squares in 32 ways, for example, as 40833497329 + 64536829681 = 202073^2 + 254041^2 .

It is a super-2 number, since 2×105370327010² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15230072 + ... + 15236988.

Almost surely, 2^105370327010 is an apocalyptic number.

105370327010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105370327010 is an abundant number, since it is smaller than the sum of its proper divisors (116423852254).

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

105370327010 is a wasteful number, since it uses less digits than its factorization.

105370327010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7128.

The product of its (nonzero) digits is 4410, while the sum is 29.

The spelling of 105370327010 in words is "one hundred five billion, three hundred seventy million, three hundred twenty-seven thousand, ten".