105732880 has 80 divisors (see below), whose sum is σ = 273357504. Its totient is φ = 37706240.

The previous prime is 105732821. The next prime is 105732881. The reversal of 105732880 is 88237501.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×105732880² = 22358883826188800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (105732881) 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, 45507 + ... + 47773.

Almost surely, 2^105732880 is an apocalyptic number.

105732880 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 105732880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136678752).

105732880 is an abundant number, since it is smaller than the sum of its proper divisors (167624624).

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

105732880 is a wasteful number, since it uses less digits than its factorization.

105732880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2344 (or 2338 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 34.

The square root of 105732880 is about 10282.6494640243. The cubic root of 105732880 is about 472.8644743409.

The spelling of 105732880 in words is "one hundred five million, seven hundred thirty-two thousand, eight hundred eighty".