101947167478320 has 160 divisors (see below), whose sum is σ = 318964126060800. Its totient is φ = 26934092946432.

The previous prime is 101947167478313. The next prime is 101947167478333. The reversal of 101947167478320 is 23874761749101.

It is a happy number.

It is a Cunningham number, because it is equal to 10096889²-1.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 302738359 + ... + 303074921.

It is an arithmetic number, because the mean of its divisors is an integer number (1993525787880).

Almost surely, 2^{101947167478320} is an apocalyptic number.

101947167478320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101947167478320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159482063030400).

101947167478320 is an abundant number, since it is smaller than the sum of its proper divisors (217016958582480).

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

101947167478320 is a wasteful number, since it uses less digits than its factorization.

101947167478320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348267 (or 348261 counting only the distinct ones).

The product of its (nonzero) digits is 14224896, while the sum is 60.

The spelling of 101947167478320 in words is "one hundred one trillion, nine hundred forty-seven billion, one hundred sixty-seven million, four hundred seventy-eight thousand, three hundred twenty".