105378187215 has 64 divisors (see below), whose sum is σ = 204080808960. Its totient is φ = 45327083520.

The previous prime is 105378187193. The next prime is 105378187217. The reversal of 105378187215 is 512781873501.

It is not a de Polignac number, because 105378187215 - 2⁶ = 105378187151 is a prime.

It is a super-2 number, since 2×105378187215² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105378187217) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10939021 + ... + 10948649.

It is an arithmetic number, because the mean of its divisors is an integer number (3188762640).

Almost surely, 2^105378187215 is an apocalyptic number.

105378187215 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105378187215 is a deficient number, since it is larger than the sum of its proper divisors (98702621745).

105378187215 is a wasteful number, since it uses less digits than its factorization.

105378187215 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15792.

The product of its (nonzero) digits is 470400, while the sum is 48.

The spelling of 105378187215 in words is "one hundred five billion, three hundred seventy-eight million, one hundred eighty-seven thousand, two hundred fifteen".