106505874 has 32 divisors (see below), whose sum is σ = 238904640. Its totient is φ = 35168256.

The previous prime is 106505827. The next prime is 106505879. The reversal of 106505874 is 478505601.

106505874 is a `hidden beast` number, since 10 + 65 + 0 + 587 + 4 = 666.

It is a super-2 number, since 2×106505874² = 22687002393007752, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (106505879) 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, 3439 + ... + 14994.

It is an arithmetic number, because the mean of its divisors is an integer number (7465770).

Almost surely, 2^106505874 is an apocalyptic number.

106505874 is an abundant number, since it is smaller than the sum of its proper divisors (132398766).

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

106505874 is a wasteful number, since it uses less digits than its factorization.

106505874 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18551 (or 18545 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 106505874 is about 10320.1683125810. The cubic root of 106505874 is about 474.0140197744.

The spelling of 106505874 in words is "one hundred six million, five hundred five thousand, eight hundred seventy-four".