105374880 has 216 divisors, whose sum is σ = 390279708. Its totient is φ = 25878528.

The previous prime is 105374839. The next prime is 105374887. The reversal of 105374880 is 88473501.

105374880 is a `hidden beast` number, since 1 + 0 + 537 + 48 + 80 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1089936 + 104284944 = 1044^2 + 10212^2 .

It is a super-2 number, since 2×105374880² = 22207730670028800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (105374887) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 243144 + ... + 243576.

Almost surely, 2^105374880 is an apocalyptic number.

105374880 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 105374880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195139854).

105374880 is an abundant number, since it is smaller than the sum of its proper divisors (284904828).

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

105374880 is a wasteful number, since it uses less digits than its factorization.

105374880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 105374880 is about 10265.2267388500. The cubic root of 105374880 is about 472.3301816883.

The spelling of 105374880 in words is "one hundred five million, three hundred seventy-four thousand, eight hundred eighty".