105493417300 has 72 divisors (see below), whose sum is σ = 230407752960. Its totient is φ = 41923699200.

The previous prime is 105493417259. The next prime is 105493417301. The reversal of 105493417300 is 3714394501.

It is a super-2 number, since 2×105493417300² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105493417300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105493417301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28047420 + ... + 28051180.

It is an arithmetic number, because the mean of its divisors is an integer number (3200107680).

Almost surely, 2^105493417300 is an apocalyptic number.

105493417300 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 105493417300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115203876480).

105493417300 is an abundant number, since it is smaller than the sum of its proper divisors (124914335660).

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

105493417300 is a wasteful number, since it uses less digits than its factorization.

105493417300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5521 (or 5514 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The spelling of 105493417300 in words is "one hundred five billion, four hundred ninety-three million, four hundred seventeen thousand, three hundred".