106128612 has 36 divisors (see below), whose sum is σ = 268632000. Its totient is φ = 35328432.

The previous prime is 106128611. The next prime is 106128619. The reversal of 106128612 is 216821601.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×106128612² = 22526564570093088, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106128611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33889 + ... + 36887.

It is an arithmetic number, because the mean of its divisors is an integer number (7462000).

Almost surely, 2^106128612 is an apocalyptic number.

106128612 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106128612 is an abundant number, since it is smaller than the sum of its proper divisors (162503388).

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

106128612 is a wasteful number, since it uses less digits than its factorization.

106128612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3992 (or 3987 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 106128612 is about 10301.8741984165. The cubic root of 106128612 is about 473.4536780996.

The spelling of 106128612 in words is "one hundred six million, one hundred twenty-eight thousand, six hundred twelve".