105878304 has 144 divisors (see below), whose sum is σ = 356166720. Its totient is φ = 29191680.

The previous prime is 105878293. The next prime is 105878327. The reversal of 105878304 is 403878501.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×105878304² = 22420430515832832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57559 + ... + 59369.

It is an arithmetic number, because the mean of its divisors is an integer number (2473380).

Almost surely, 2^105878304 is an apocalyptic number.

105878304 is a gapful number since it is divisible by the number (14) 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 105878304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178083360).

105878304 is an abundant number, since it is smaller than the sum of its proper divisors (250288416).

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

105878304 is a wasteful number, since it uses less digits than its factorization.

105878304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1863 (or 1852 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 105878304 is about 10289.7183634928. The cubic root of 105878304 is about 473.0811661298.

The spelling of 105878304 in words is "one hundred five million, eight hundred seventy-eight thousand, three hundred four".