106657842 has 16 divisors (see below), whose sum is σ = 214945632. Its totient is φ = 35280960.

The previous prime is 106657841. The next prime is 106657861. The reversal of 106657842 is 248756601.

It is a super-2 number, since 2×106657842² = 22751790520193928, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106657842.

It is not an unprimeable number, because it can be changed into a prime (106657841) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67063 + ... + 68634.

It is an arithmetic number, because the mean of its divisors is an integer number (13434102).

Almost surely, 2^106657842 is an apocalyptic number.

106657842 is an abundant number, since it is smaller than the sum of its proper divisors (108287790).

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

106657842 is a wasteful number, since it uses less digits than its factorization.

106657842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135833.

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 106657842 is about 10327.5283587120. The cubic root of 106657842 is about 474.2393617389.

The spelling of 106657842 in words is "one hundred six million, six hundred fifty-seven thousand, eight hundred forty-two".