106100442 has 40 divisors (see below), whose sum is σ = 271709856. Its totient is φ = 30314088.

The previous prime is 106100429. The next prime is 106100459. The reversal of 106100442 is 244001601.

106100442 is a `hidden beast` number, since 10 + 610 + 0 + 4 + 42 = 666.

It is a super-3 number, since 3×106100442³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 45648 + ... + 47915.

Almost surely, 2^106100442 is an apocalyptic number.

106100442 is an abundant number, since it is smaller than the sum of its proper divisors (165609414).

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

106100442 is an equidigital number, since it uses as much as digits as its factorization.

106100442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93584 (or 93575 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 106100442 is about 10300.5068807316. The cubic root of 106100442 is about 473.4117843693.

The spelling of 106100442 in words is "one hundred six million, one hundred thousand, four hundred forty-two".