101948193664 has 64 divisors (see below), whose sum is σ = 206382140640. Its totient is φ = 50156660736.

The previous prime is 101948193653. The next prime is 101948193731. The reversal of 101948193664 is 466391849101.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2045262 + ... + 2094514.

Almost surely, 2^101948193664 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 101948193664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103191070320).

101948193664 is an abundant number, since it is smaller than the sum of its proper divisors (104433946976).

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

101948193664 is a wasteful number, since it uses less digits than its factorization.

101948193664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49527 (or 49515 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 52.

The spelling of 101948193664 in words is "one hundred one billion, nine hundred forty-eight million, one hundred ninety-three thousand, six hundred sixty-four".