101468025984 has 128 divisors (see below), whose sum is σ = 290415787200. Its totient is φ = 31203864576.

The previous prime is 101468025979. The next prime is 101468025991. The reversal of 101468025984 is 489520864101.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11522127 + ... + 11530929.

Almost surely, 2^101468025984 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 101468025984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145207893600).

101468025984 is an abundant number, since it is smaller than the sum of its proper divisors (188947761216).

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

101468025984 is a wasteful number, since it uses less digits than its factorization.

101468025984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11142 (or 11130 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The spelling of 101468025984 in words is "one hundred one billion, four hundred sixty-eight million, twenty-five thousand, nine hundred eighty-four".