105378756 has 48 divisors (see below), whose sum is σ = 283092096. Its totient is φ = 29885184.

The previous prime is 105378751. The next prime is 105378773. The reversal of 105378756 is 657873501.

It is a super-2 number, since 2×105378756² = 22209364432215072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (105378751) 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, 6930 + ... + 16086.

It is an arithmetic number, because the mean of its divisors is an integer number (5897752).

Almost surely, 2^105378756 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 105378756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141546048).

105378756 is an abundant number, since it is smaller than the sum of its proper divisors (177713340).

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

105378756 is a wasteful number, since it uses less digits than its factorization.

105378756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9308 (or 9306 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 42.

The square root of 105378756 is about 10265.4155298263. The cubic root of 105378756 is about 472.3359728514.

The spelling of 105378756 in words is "one hundred five million, three hundred seventy-eight thousand, seven hundred fifty-six".