105048780 has 96 divisors (see below), whose sum is σ = 313709760. Its totient is φ = 26173440.

The previous prime is 105048761. The next prime is 105048793. The reversal of 105048780 is 87840501.

It is a happy number.

It is a super-2 number, since 2×105048780² = 22070492358976800, which contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 184336 + ... + 184904.

It is an arithmetic number, because the mean of its divisors is an integer number (3267810).

Almost surely, 2^105048780 is an apocalyptic number.

105048780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105048780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156854880).

105048780 is an abundant number, since it is smaller than the sum of its proper divisors (208660980).

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

105048780 is a wasteful number, since it uses less digits than its factorization.

105048780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 105048780 is about 10249.3307098561. The cubic root of 105048780 is about 471.8424435823.

The spelling of 105048780 in words is "one hundred five million, forty-eight thousand, seven hundred eighty".