106801856688 has 160 divisors (see below), whose sum is σ = 292474336000. Its totient is φ = 33490050048.

The previous prime is 106801856639. The next prime is 106801856717. The reversal of 106801856688 is 886658108601.

It is a happy number.

It is a super-2 number, since 2×106801856688² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

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, 97713870 + ... + 97714962.

It is an arithmetic number, because the mean of its divisors is an integer number (1827964600).

Almost surely, 2^106801856688 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 106801856688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146237168000).

106801856688 is an abundant number, since it is smaller than the sum of its proper divisors (185672479312).

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

106801856688 is a wasteful number, since it uses less digits than its factorization.

106801856688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1779 (or 1773 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 57.

The spelling of 106801856688 in words is "one hundred six billion, eight hundred one million, eight hundred fifty-six thousand, six hundred eighty-eight".