105415115563005 has 64 divisors (see below), whose sum is σ = 182001810048768. Its totient is φ = 51902558023680.

The previous prime is 105415115563003. The next prime is 105415115563007. The reversal of 105415115563005 is 500365511514501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (105415115563003) and next prime (105415115563007).

It is not a de Polignac number, because 105415115563005 - 2¹ = 105415115563003 is a prime.

It is a super-2 number, since 2×105415115563005² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105415115563001) 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, 51804915 + ... + 53801295.

It is an arithmetic number, because the mean of its divisors is an integer number (2843778282012).

Almost surely, 2^{105415115563005} is an apocalyptic number.

105415115563005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105415115563005 is a deficient number, since it is larger than the sum of its proper divisors (76586694485763).

105415115563005 is a wasteful number, since it uses less digits than its factorization.

105415115563005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2000366.

The product of its (nonzero) digits is 225000, while the sum is 42.

The spelling of 105415115563005 in words is "one hundred five trillion, four hundred fifteen billion, one hundred fifteen million, five hundred sixty-three thousand, five".