105412126215 has 16 divisors (see below), whose sum is σ = 183992075136. Its totient is φ = 51108909600.

The previous prime is 105412126181. The next prime is 105412126249. The reversal of 105412126215 is 512621214501.

It is an interprime number because it is at equal distance from previous prime (105412126181) and next prime (105412126249).

It is not a de Polignac number, because 105412126215 - 2¹³ = 105412118023 is a prime.

It is a super-3 number, since 3×105412126215³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 319430521 + ... + 319430850.

It is an arithmetic number, because the mean of its divisors is an integer number (11499504696).

Almost surely, 2^105412126215 is an apocalyptic number.

105412126215 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105412126215 is a deficient number, since it is larger than the sum of its proper divisors (78579948921).

105412126215 is a wasteful number, since it uses less digits than its factorization.

105412126215 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638861390.

The product of its (nonzero) digits is 4800, while the sum is 30.

The spelling of 105412126215 in words is "one hundred five billion, four hundred twelve million, one hundred twenty-six thousand, two hundred fifteen".