105175921740 has 96 divisors (see below), whose sum is σ = 298174141440. Its totient is φ = 27696592896.

The previous prime is 105175921693. The next prime is 105175921771. The reversal of 105175921740 is 47129571501.

It is a super-2 number, since 2×105175921740² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105175921692 and 105175921701.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18009741 + ... + 18015579.

It is an arithmetic number, because the mean of its divisors is an integer number (3105980640).

Almost surely, 2^105175921740 is an apocalyptic number.

105175921740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105175921740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149087070720).

105175921740 is an abundant number, since it is smaller than the sum of its proper divisors (192998219700).

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

105175921740 is a wasteful number, since it uses less digits than its factorization.

105175921740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9551 (or 9549 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 42.

The spelling of 105175921740 in words is "one hundred five billion, one hundred seventy-five million, nine hundred twenty-one thousand, seven hundred forty".