105378988 has 48 divisors (see below), whose sum is σ = 229418784. Its totient is φ = 41610240.

The previous prime is 105378961. The next prime is 105378989. The reversal of 105378988 is 889873501.

It is a super-2 number, since 2×105378988² = 22209462223808288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105378989) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4306 + ... + 15142.

It is an arithmetic number, because the mean of its divisors is an integer number (4779558).

Almost surely, 2^105378988 is an apocalyptic number.

It is an amenable number.

105378988 is an abundant number, since it is smaller than the sum of its proper divisors (124039796).

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

105378988 is a wasteful number, since it uses less digits than its factorization.

105378988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10882 (or 10880 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 49.

The square root of 105378988 is about 10265.4268298985. The cubic root of 105378988 is about 472.3363194800.

The spelling of 105378988 in words is "one hundred five million, three hundred seventy-eight thousand, nine hundred eighty-eight".