106457128 has 32 divisors (see below), whose sum is σ = 213917760. Its totient is φ = 49488640.

The previous prime is 106457101. The next prime is 106457137. The reversal of 106457128 is 821754601.

It is a super-2 number, since 2×106457128² = 22666240204016768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 106457093 and 106457102.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6573 + ... + 16003.

It is an arithmetic number, because the mean of its divisors is an integer number (6684930).

Almost surely, 2^106457128 is an apocalyptic number.

It is an amenable number.

106457128 is an abundant number, since it is smaller than the sum of its proper divisors (107460632).

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

106457128 is a wasteful number, since it uses less digits than its factorization.

106457128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9537 (or 9533 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 34.

The square root of 106457128 is about 10317.8063560042. The cubic root of 106457128 is about 473.9416925792.

The spelling of 106457128 in words is "one hundred six million, four hundred fifty-seven thousand, one hundred twenty-eight".