107828201840 has 80 divisors (see below), whose sum is σ = 254919934080. Its totient is φ = 42405980160.

The previous prime is 107828201839. The next prime is 107828201881. The reversal of 107828201840 is 48102828701.

107828201840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×107828201840² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 19902812 + ... + 19908228.

It is an arithmetic number, because the mean of its divisors is an integer number (3186499176).

Almost surely, 2^107828201840 is an apocalyptic number.

107828201840 is a gapful number since it is divisible by the number (10) 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 107828201840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127459967040).

107828201840 is an abundant number, since it is smaller than the sum of its proper divisors (147091732240).

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

107828201840 is a wasteful number, since it uses less digits than its factorization.

107828201840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9570 (or 9564 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 41.

The spelling of 107828201840 in words is "one hundred seven billion, eight hundred twenty-eight million, two hundred one thousand, eight hundred forty".