105978672 has 40 divisors (see below), whose sum is σ = 304199280. Its totient is φ = 35326080.

The previous prime is 105978671. The next prime is 105978683. The reversal of 105978672 is 276879501.

It is a super-2 number, since 2×105978672² = 22462957837767168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105978671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122229 + ... + 123092.

It is an arithmetic number, because the mean of its divisors is an integer number (7604982).

Almost surely, 2^105978672 is an apocalyptic number.

105978672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105978672 is an abundant number, since it is smaller than the sum of its proper divisors (198220608).

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

105978672 is a wasteful number, since it uses less digits than its factorization.

105978672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245338 (or 245326 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 105978672 is about 10294.5943096365. The cubic root of 105978672 is about 473.2306056684.

The spelling of 105978672 in words is "one hundred five million, nine hundred seventy-eight thousand, six hundred seventy-two".