105802866400 has 288 divisors, whose sum is σ = 325363675392. Its totient is φ = 32635699200.

The previous prime is 105802866361. The next prime is 105802866409. The reversal of 105802866400 is 4668208501.

It is a super-2 number, since 2×105802866400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105802866409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5966347 + ... + 5984053.

It is an arithmetic number, because the mean of its divisors is an integer number (1129734984).

Almost surely, 2^105802866400 is an apocalyptic number.

105802866400 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 105802866400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162681837696).

105802866400 is an abundant number, since it is smaller than the sum of its proper divisors (219560808992).

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

105802866400 is a wasteful number, since it uses less digits than its factorization.

105802866400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17842 (or 17829 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The spelling of 105802866400 in words is "one hundred five billion, eight hundred two million, eight hundred sixty-six thousand, four hundred".