105873600 has 336 divisors, whose sum is σ = 417259008. Its totient is φ = 22978560.

The previous prime is 105873571. The next prime is 105873629. The reversal of 105873600 is 6378501.

It is an interprime number because it is at equal distance from previous prime (105873571) and next prime (105873629).

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×105873600² = 22418438353920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 772732 + ... + 772868.

Almost surely, 2^105873600 is an apocalyptic number.

105873600 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 105873600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208629504).

105873600 is an abundant number, since it is smaller than the sum of its proper divisors (311385408).

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

105873600 is a wasteful number, since it uses less digits than its factorization.

105873600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 105873600 is about 10289.4897832691. The cubic root of 105873600 is about 473.0741599517.

The spelling of 105873600 in words is "one hundred five million, eight hundred seventy-three thousand, six hundred".