106096128 has 40 divisors (see below), whose sum is σ = 282650808. Its totient is φ = 35364864.

The previous prime is 106096127. The next prime is 106096129. The reversal of 106096128 is 821690601.

It is an interprime number because it is at equal distance from previous prime (106096127) and next prime (106096129).

It is a super-3 number, since 3×106096128³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106096127) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 33001 + ... + 36072.

Almost surely, 2^106096128 is an apocalyptic number.

It is an amenable number.

106096128 is an abundant number, since it is smaller than the sum of its proper divisors (176554680).

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

106096128 is an frugal number, since it uses more digits than its factorization.

106096128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69094 (or 69078 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 106096128 is about 10300.2974714326. The cubic root of 106096128 is about 473.4053680401.

The spelling of 106096128 in words is "one hundred six million, ninety-six thousand, one hundred twenty-eight".