105242880 has 72 divisors (see below), whose sum is σ = 336131712. Its totient is φ = 28063744.

The previous prime is 105242867. The next prime is 105242897. The reversal of 105242880 is 88242501.

It is a super-5 number, since 5×105242880⁵ (a number of 41 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9864 + ... + 17543.

It is an arithmetic number, because the mean of its divisors is an integer number (4668496).

Almost surely, 2^105242880 is an apocalyptic number.

105242880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105242880 is an abundant number, since it is smaller than the sum of its proper divisors (230888832).

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

105242880 is an equidigital number, since it uses as much as digits as its factorization.

105242880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27431 (or 27417 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 105242880 is about 10258.7952509054. The cubic root of 105242880 is about 472.1328745889.

The spelling of 105242880 in words is "one hundred five million, two hundred forty-two thousand, eight hundred eighty".