105065400 has 96 divisors (see below), whose sum is σ = 355334400. Its totient is φ = 25468800.

The previous prime is 105065393. The next prime is 105065407. The reversal of 105065400 is 4560501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (105065393) and next prime (105065407).

It is a super-2 number, since 2×105065400² = 22077476554320000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105065407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1360 + ... + 14559.

It is an arithmetic number, because the mean of its divisors is an integer number (3701400).

Almost surely, 2^105065400 is an apocalyptic number.

105065400 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 105065400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177667200).

105065400 is an abundant number, since it is smaller than the sum of its proper divisors (250269000).

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

105065400 is a wasteful number, since it uses less digits than its factorization.

105065400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15949 (or 15940 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 105065400 is about 10250.1414624385. The cubic root of 105065400 is about 471.8673260159.

The spelling of 105065400 in words is "one hundred five million, sixty-five thousand, four hundred".