106089050688 has 112 divisors (see below), whose sum is σ = 281957800320. Its totient is φ = 35204198400.

The previous prime is 106089050659. The next prime is 106089050701. The reversal of 106089050688 is 886050980601.

It is a super-2 number, since 2×106089050688² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106089050688.

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, 49550098 + ... + 49552238.

It is an arithmetic number, because the mean of its divisors is an integer number (2517480360).

Almost surely, 2^106089050688 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 106089050688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140978900160).

106089050688 is an abundant number, since it is smaller than the sum of its proper divisors (175868749632).

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

106089050688 is a wasteful number, since it uses less digits than its factorization.

106089050688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3196 (or 3186 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 51.

The spelling of 106089050688 in words is "one hundred six billion, eighty-nine million, fifty thousand, six hundred eighty-eight".