105045984 has 192 divisors, whose sum is σ = 330624000. Its totient is φ = 32752512.

The previous prime is 105045943. The next prime is 105046001. The reversal of 105045984 is 489540501.

105045984 is a `hidden beast` number, since 10 + 50 + 4 + 598 + 4 = 666.

It is a super-2 number, since 2×105045984² = 22069317509056512, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1329657 + ... + 1329735.

It is an arithmetic number, because the mean of its divisors is an integer number (1722000).

Almost surely, 2^105045984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105045984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165312000).

105045984 is an abundant number, since it is smaller than the sum of its proper divisors (225578016).

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

105045984 is an frugal number, since it uses more digits than its factorization.

105045984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 105045984 is about 10249.1943097982. The cubic root of 105045984 is about 471.8382573265.

The spelling of 105045984 in words is "one hundred five million, forty-five thousand, nine hundred eighty-four".