106755642 has 72 divisors (see below), whose sum is σ = 279111456. Its totient is φ = 28883952.

The previous prime is 106755629. The next prime is 106755653. The reversal of 106755642 is 246557601.

It is a happy number.

106755642 is a `hidden beast` number, since 1 + 0 + 6 + 7 + 5 + 5 + 642 = 666.

It is a super-2 number, since 2×106755642² = 22793534197664328, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106755597 and 106755606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 44313 + ... + 46659.

It is an arithmetic number, because the mean of its divisors is an integer number (3876548).

Almost surely, 2^106755642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106755642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139555728).

106755642 is an abundant number, since it is smaller than the sum of its proper divisors (172355814).

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

106755642 is a wasteful number, since it uses less digits than its factorization.

106755642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2400 (or 2378 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 106755642 is about 10332.2621917952. The cubic root of 106755642 is about 474.3842688540.

The spelling of 106755642 in words is "one hundred six million, seven hundred fifty-five thousand, six hundred forty-two".