106921128 has 32 divisors (see below), whose sum is σ = 270691200. Its totient is φ = 35188608.

The previous prime is 106921127. The next prime is 106921237. The reversal of 106921128 is 821129601.

It is a happy number.

It is a super-2 number, since 2×106921128² = 22864255225584768, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106921095 and 106921104.

It is not an unprimeable number, because it can be changed into a prime (106921121) 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, 26301 + ... + 30092.

It is an arithmetic number, because the mean of its divisors is an integer number (8459100).

Almost surely, 2^106921128 is an apocalyptic number.

It is an amenable number.

106921128 is an abundant number, since it is smaller than the sum of its proper divisors (163770072).

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

106921128 is a wasteful number, since it uses less digits than its factorization.

106921128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56481 (or 56477 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

The square root of 106921128 is about 10340.2673079568. The cubic root of 106921128 is about 474.6292627002.

The spelling of 106921128 in words is "one hundred six million, nine hundred twenty-one thousand, one hundred twenty-eight".