105942240 has 72 divisors (see below), whose sum is σ = 361532808. Its totient is φ = 28250880.

The previous prime is 105942203. The next prime is 105942241. The reversal of 105942240 is 42249501.

105942240 is a `hidden beast` number, since 10 + 594 + 22 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×105942240² = 22447516432435200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105942241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35346 + ... + 38225.

It is an arithmetic number, because the mean of its divisors is an integer number (5021289).

Almost surely, 2^105942240 is an apocalyptic number.

105942240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105942240 is an abundant number, since it is smaller than the sum of its proper divisors (255590568).

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

105942240 is a wasteful number, since it uses less digits than its factorization.

105942240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73592 (or 73581 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 105942240 is about 10292.8246851872. The cubic root of 105942240 is about 473.1763723871.

The spelling of 105942240 in words is "one hundred five million, nine hundred forty-two thousand, two hundred forty".