105354360345 has 64 divisors (see below), whose sum is σ = 189918618624. Its totient is φ = 49524910080.

The previous prime is 105354360299. The next prime is 105354360359. The reversal of 105354360345 is 543063453501.

It is not a de Polignac number, because 105354360345 - 2¹² = 105354356249 is a prime.

It is a super-2 number, since 2×105354360345² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 235579 + ... + 515951.

It is an arithmetic number, because the mean of its divisors is an integer number (2967478416).

Almost surely, 2^105354360345 is an apocalyptic number.

105354360345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105354360345 is a deficient number, since it is larger than the sum of its proper divisors (84564258279).

105354360345 is a wasteful number, since it uses less digits than its factorization.

105354360345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280482.

The product of its (nonzero) digits is 324000, while the sum is 39.

The spelling of 105354360345 in words is "one hundred five billion, three hundred fifty-four million, three hundred sixty thousand, three hundred forty-five".