105501642 has 32 divisors (see below), whose sum is σ = 223379520. Its totient is φ = 33125760.

The previous prime is 105501637. The next prime is 105501673. The reversal of 105501642 is 246105501.

It is a super-2 number, since 2×105501642² = 22261192929392328, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18078 + ... + 23190.

It is an arithmetic number, because the mean of its divisors is an integer number (6980610).

Almost surely, 2^105501642 is an apocalyptic number.

105501642 is an abundant number, since it is smaller than the sum of its proper divisors (117877878).

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

105501642 is a wasteful number, since it uses less digits than its factorization.

105501642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5318.

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 105501642 is about 10271.3992230854. The cubic root of 105501642 is about 472.5195042479.

The spelling of 105501642 in words is "one hundred five million, five hundred one thousand, six hundred forty-two".