105448980 has 288 divisors, whose sum is σ = 386104320. Its totient is φ = 21288960.

The previous prime is 105448979. The next prime is 105449023. The reversal of 105448980 is 89844501.

It is a super-2 number, since 2×105448980² = 22238974766080800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1184776 + ... + 1184864.

It is an arithmetic number, because the mean of its divisors is an integer number (1340640).

Almost surely, 2^105448980 is an apocalyptic number.

105448980 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 105448980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193052160).

105448980 is an abundant number, since it is smaller than the sum of its proper divisors (280655340).

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

105448980 is a wasteful number, since it uses less digits than its factorization.

105448980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 105448980 is about 10268.8353770036. The cubic root of 105448980 is about 472.4408705157.

The spelling of 105448980 in words is "one hundred five million, four hundred forty-eight thousand, nine hundred eighty".