106942128 has 80 divisors (see below), whose sum is σ = 284553216. Its totient is φ = 34594560.

The previous prime is 106942123. The next prime is 106942139. The reversal of 106942128 is 821249601.

It is a super-2 number, since 2×106942128² = 22873237482336768, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106942123) 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, 322923 + ... + 323253.

Almost surely, 2^106942128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106942128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142276608).

106942128 is an abundant number, since it is smaller than the sum of its proper divisors (177611088).

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

106942128 is a wasteful number, since it uses less digits than its factorization.

106942128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 106942128 is about 10341.2827057382. The cubic root of 106942128 is about 474.6603340835.

The spelling of 106942128 in words is "one hundred six million, nine hundred forty-two thousand, one hundred twenty-eight".