107288467920 has 640 divisors, whose sum is σ = 395768954880. Its totient is φ = 26669813760.

The previous prime is 107288467919. The next prime is 107288467927. The reversal of 107288467920 is 29764882701.

It is a happy number.

107288467920 is a `hidden beast` number, since 10 + 7 + 2 + 88 + 467 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107288467927) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 229739527 + ... + 229739993.

It is an arithmetic number, because the mean of its divisors is an integer number (618388992).

Almost surely, 2^107288467920 is an apocalyptic number.

107288467920 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 107288467920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197884477440).

107288467920 is an abundant number, since it is smaller than the sum of its proper divisors (288480486960).

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

107288467920 is a wasteful number, since it uses less digits than its factorization.

107288467920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 107288467920 in words is "one hundred seven billion, two hundred eighty-eight million, four hundred sixty-seven thousand, nine hundred twenty".