105414642 has 16 divisors (see below), whose sum is σ = 234254880. Its totient is φ = 35138196.

The previous prime is 105414613. The next prime is 105414689. The reversal of 105414642 is 246414501.

105414642 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 14 + 642 = 666.

It is a super-2 number, since 2×105414642² = 22224493495976328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 976008 + ... + 976115.

It is an arithmetic number, because the mean of its divisors is an integer number (14640930).

Almost surely, 2^105414642 is an apocalyptic number.

105414642 is an abundant number, since it is smaller than the sum of its proper divisors (128840238).

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

105414642 is a wasteful number, since it uses less digits than its factorization.

105414642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1952134 (or 1952128 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 105414642 is about 10267.1632888544. The cubic root of 105414642 is about 472.3895836728.

The spelling of 105414642 in words is "one hundred five million, four hundred fourteen thousand, six hundred forty-two".