105378948 has 24 divisors (see below), whose sum is σ = 273204960. Its totient is φ = 35126280.

The previous prime is 105378943. The next prime is 105378961. The reversal of 105378948 is 849873501.

It is a super-2 number, since 2×105378948² = 22209445363173408, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (105378943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 487758 + ... + 487973.

It is an arithmetic number, because the mean of its divisors is an integer number (11383540).

Almost surely, 2^105378948 is an apocalyptic number.

105378948 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

105378948 is an abundant number, since it is smaller than the sum of its proper divisors (167826012).

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

105378948 is a wasteful number, since it uses less digits than its factorization.

105378948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975744 (or 975736 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 105378948 is about 10265.4248816111. The cubic root of 105378948 is about 472.3362597165.

Subtracting from 105378948 its sum of digits (45), we obtain a triangular number (105378903 = T₁₄₅₁₇).

The spelling of 105378948 in words is "one hundred five million, three hundred seventy-eight thousand, nine hundred forty-eight".