101296128 has 48 divisors (see below), whose sum is σ = 270073440. Its totient is φ = 33763328.

The previous prime is 101296109. The next prime is 101296147. The reversal of 101296128 is 821692101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101296109) and next prime (101296147).

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 101296095 and 101296104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2100 + ... + 14387.

It is an arithmetic number, because the mean of its divisors is an integer number (5626530).

Almost surely, 2^101296128 is an apocalyptic number.

It is an amenable number.

101296128 is an abundant number, since it is smaller than the sum of its proper divisors (168777312).

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

101296128 is an equidigital number, since it uses as much as digits as its factorization.

101296128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16512 (or 16492 counting only the distinct ones).

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

The square root of 101296128 is about 10064.5977564928. The cubic root of 101296128 is about 466.1556456018.

The spelling of 101296128 in words is "one hundred one million, two hundred ninety-six thousand, one hundred twenty-eight".