101172678208 has 112 divisors (see below), whose sum is σ = 239736075264. Its totient is φ = 41419952640.

The previous prime is 101172678203. The next prime is 101172678223. The reversal of 101172678208 is 802876271101.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×101172678208³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (101172678203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8350491 + ... + 8362597.

It is an arithmetic number, because the mean of its divisors is an integer number (2140500672).

Almost surely, 2^101172678208 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 101172678208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119868037632).

101172678208 is an abundant number, since it is smaller than the sum of its proper divisors (138563397056).

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

101172678208 is a wasteful number, since it uses less digits than its factorization.

101172678208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12960 (or 12950 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 43.

The spelling of 101172678208 in words is "one hundred one billion, one hundred seventy-two million, six hundred seventy-eight thousand, two hundred eight".