105576240 has 320 divisors, whose sum is σ = 424258560. Its totient is φ = 21073920.

The previous prime is 105576221. The next prime is 105576283. The reversal of 105576240 is 42675501.

It is a super-2 number, since 2×105576240² = 22292684905075200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 105576198 and 105576207.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 535822 + ... + 536018.

It is an arithmetic number, because the mean of its divisors is an integer number (1325808).

Almost surely, 2^105576240 is an apocalyptic number.

105576240 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 105576240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212129280).

105576240 is an abundant number, since it is smaller than the sum of its proper divisors (318682320).

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

105576240 is a wasteful number, since it uses less digits than its factorization.

105576240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 105576240 is about 10275.0299269637. The cubic root of 105576240 is about 472.6308475554.

The spelling of 105576240 in words is "one hundred five million, five hundred seventy-six thousand, two hundred forty".