101669886864 has 240 divisors, whose sum is σ = 351455255424. Its totient is φ = 26717644800.

The previous prime is 101669886841. The next prime is 101669886881. The reversal of 101669886864 is 468688966101.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3668419 + ... + 3696029.

Almost surely, 2^101669886864 is an apocalyptic number.

101669886864 is a gapful number since it is divisible by the number (14) 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 101669886864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175727627712).

101669886864 is an abundant number, since it is smaller than the sum of its proper divisors (249785368560).

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

101669886864 is a wasteful number, since it uses less digits than its factorization.

101669886864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27926 (or 27917 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 101669886864 in words is "one hundred one billion, six hundred sixty-nine million, eight hundred eighty-six thousand, eight hundred sixty-four".