105717574550140 has 192 divisors, whose sum is σ = 271646161920000. Its totient is φ = 33750931315968.

The previous prime is 105717574550053. The next prime is 105717574550207. The reversal of 105717574550140 is 41055475717501.

It is a super-2 number, since 2×105717574550140² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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, 1045012881 + ... + 1045114039.

It is an arithmetic number, because the mean of its divisors is an integer number (1414823760000).

Almost surely, 2^{105717574550140} is an apocalyptic number.

105717574550140 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 105717574550140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135823080960000).

105717574550140 is an abundant number, since it is smaller than the sum of its proper divisors (165928587369860).

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

105717574550140 is a wasteful number, since it uses less digits than its factorization.

105717574550140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107912 (or 107910 counting only the distinct ones).

The product of its (nonzero) digits is 3430000, while the sum is 52.

The spelling of 105717574550140 in words is "one hundred five trillion, seven hundred seventeen billion, five hundred seventy-four million, five hundred fifty thousand, one hundred forty".