105380348140215 has 16 divisors (see below), whose sum is σ = 187342841138400. Its totient is φ = 56202852341376.

The previous prime is 105380348140189. The next prime is 105380348140231. The reversal of 105380348140215 is 512041843083501.

105380348140215 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 80 + 348 + 14 + 0 + 215 = 666.

It is not a de Polignac number, because 105380348140215 - 2²² = 105380343945911 is a prime.

It is a super-2 number, since 2×105380348140215² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 390297585570 + ... + 390297585839.

It is an arithmetic number, because the mean of its divisors is an integer number (11708927571150).

Almost surely, 2^{105380348140215} is an apocalyptic number.

105380348140215 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105380348140215 is a deficient number, since it is larger than the sum of its proper divisors (81962492998185).

105380348140215 is an equidigital number, since it uses as much as digits as its factorization.

105380348140215 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780595171423 (or 780595171417 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 105380348140215 in words is "one hundred five trillion, three hundred eighty billion, three hundred forty-eight million, one hundred forty thousand, two hundred fifteen".