105717346400 has 72 divisors (see below), whose sum is σ = 260637943104. Its totient is φ = 41868224000.

The previous prime is 105717346369. The next prime is 105717346403. The reversal of 105717346400 is 4643717501.

It is a super-2 number, since 2×105717346400² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105717346403) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 573392 + ... + 734991.

It is an arithmetic number, because the mean of its divisors is an integer number (3619971432).

Almost surely, 2^105717346400 is an apocalyptic number.

105717346400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105717346400 is an abundant number, since it is smaller than the sum of its proper divisors (154920596704).

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

105717346400 is a wasteful number, since it uses less digits than its factorization.

105717346400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308504 (or 1308491 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 38.

The spelling of 105717346400 in words is "one hundred five billion, seven hundred seventeen million, three hundred forty-six thousand, four hundred".