105415257773385 has 96 divisors (see below), whose sum is σ = 209851987488000. Its totient is φ = 47952518358528.

The previous prime is 105415257773249. The next prime is 105415257773393. The reversal of 105415257773385 is 583377752514501.

105415257773385 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 1 + 52 + 577 + 7 + 3 + 3 + 8 + 5 = 666.

It is not a de Polignac number, because 105415257773385 - 2¹⁰ = 105415257772361 is a prime.

It is a super-2 number, since 2×105415257773385² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 128641086 + ... + 129457944.

It is an arithmetic number, because the mean of its divisors is an integer number (2185958203000).

Almost surely, 2^{105415257773385} is an apocalyptic number.

105415257773385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105415257773385 is a deficient number, since it is larger than the sum of its proper divisors (104436729714615).

105415257773385 is a wasteful number, since it uses less digits than its factorization.

105415257773385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818895 (or 818892 counting only the distinct ones).

The product of its (nonzero) digits is 123480000, while the sum is 63.

The spelling of 105415257773385 in words is "one hundred five trillion, four hundred fifteen billion, two hundred fifty-seven million, seven hundred seventy-three thousand, three hundred eighty-five".