105894154975364 has 48 divisors (see below), whose sum is σ = 214790889358080. Its totient is φ = 44739916341120.

The previous prime is 105894154975361. The next prime is 105894154975403. The reversal of 105894154975364 is 463579451498501.

It is a super-2 number, since 2×105894154975364² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (71).

It is not an unprimeable number, because it can be changed into a prime (105894154975361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19351802 + ... + 24213230.

It is an arithmetic number, because the mean of its divisors is an integer number (4474810194960).

Almost surely, 2^{105894154975364} is an apocalyptic number.

105894154975364 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105894154975364 is an abundant number, since it is smaller than the sum of its proper divisors (108896734382716).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105894154975364 is a wasteful number, since it uses less digits than its factorization.

105894154975364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4872468 (or 4872466 counting only the distinct ones).

The product of its (nonzero) digits is 653184000, while the sum is 71.

The spelling of 105894154975364 in words is "one hundred five trillion, eight hundred ninety-four billion, one hundred fifty-four million, nine hundred seventy-five thousand, three hundred sixty-four".