107772069888 has 384 divisors, whose sum is σ = 377473824000. Its totient is φ = 29727129600.

The previous prime is 107772069883. The next prime is 107772069907. The reversal of 107772069888 is 888960277701.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×107772069888² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (107772069883) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11220288 + ... + 11229888.

It is an arithmetic number, because the mean of its divisors is an integer number (983004750).

Almost surely, 2^107772069888 is an apocalyptic number.

107772069888 is a gapful number since it is divisible by the number (18) 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 107772069888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188736912000).

107772069888 is an abundant number, since it is smaller than the sum of its proper divisors (269701754112).

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

107772069888 is an equidigital number, since it uses as much as digits as its factorization.

107772069888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9668 (or 9642 counting only the distinct ones).

The product of its (nonzero) digits is 18966528, while the sum is 63.

The spelling of 107772069888 in words is "one hundred seven billion, seven hundred seventy-two million, sixty-nine thousand, eight hundred eighty-eight".