107641081500484 has 81 divisors (see below), whose sum is σ = 225220132713303. Its totient is φ = 44882843173056.

The previous prime is 107641081500473. The next prime is 107641081500553. The reversal of 107641081500484 is 484005180146701.

The square root of 107641081500484 is 10375022.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 4491220562500 + 103149860937984 = 2119250^2 + 10156272^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5374251382 + ... + 5374271410.

Almost surely, 2^{107641081500484} is an apocalyptic number.

107641081500484 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

107641081500484 is the 10375022-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107641081500484

107641081500484 is an abundant number, since it is smaller than the sum of its proper divisors (117579051212819).

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

107641081500484 is an frugal number, since it uses more digits than its factorization.

107641081500484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40150 (or 20075 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 49.

107641081500484 divided by its sum of digits (49) gives a square (2196756765316 = 1482146²).

The spelling of 107641081500484 in words is "one hundred seven trillion, six hundred forty-one billion, eighty-one million, five hundred thousand, four hundred eighty-four".