101096064 has 96 divisors (see below), whose sum is σ = 293629440. Its totient is φ = 33384960.

The previous prime is 101096033. The next prime is 101096071. The reversal of 101096064 is 460690101.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 145959 + ... + 146649.

It is an arithmetic number, because the mean of its divisors is an integer number (3058640).

Almost surely, 2^101096064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101096064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146814720).

101096064 is an abundant number, since it is smaller than the sum of its proper divisors (192533376).

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

101096064 is a wasteful number, since it uses less digits than its factorization.

101096064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 101096064 is about 10054.6538478458. The cubic root of 101096064 is about 465.8485511766.

The spelling of 101096064 in words is "one hundred one million, ninety-six thousand, sixty-four".