105384364890 has 64 divisors (see below), whose sum is σ = 289681539840. Its totient is φ = 24035581440.

The previous prime is 105384364831. The next prime is 105384364973. The reversal of 105384364890 is 98463483501.

It is a super-2 number, since 2×105384364890² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 447475 + ... + 641094.

It is an arithmetic number, because the mean of its divisors is an integer number (4526274060).

Almost surely, 2^105384364890 is an apocalyptic number.

105384364890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105384364890 is an abundant number, since it is smaller than the sum of its proper divisors (184297174950).

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

105384364890 is a wasteful number, since it uses less digits than its factorization.

105384364890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1089047.

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 105384364890 in words is "one hundred five billion, three hundred eighty-four million, three hundred sixty-four thousand, eight hundred ninety".