105119893050 has 48 divisors (see below), whose sum is σ = 274418254560. Its totient is φ = 26556603840.

The previous prime is 105119893033. The next prime is 105119893061. The reversal of 105119893050 is 50398911501.

It is a super-2 number, since 2×105119893050² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105119892993 and 105119893011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18439237 + ... + 18444936.

It is an arithmetic number, because the mean of its divisors is an integer number (5717046970).

Almost surely, 2^105119893050 is an apocalyptic number.

105119893050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105119893050 is an abundant number, since it is smaller than the sum of its proper divisors (169298361510).

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

105119893050 is a wasteful number, since it uses less digits than its factorization.

105119893050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36884207 (or 36884202 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 42.

The spelling of 105119893050 in words is "one hundred five billion, one hundred nineteen million, eight hundred ninety-three thousand, fifty".