107147849266080 has 576 divisors, whose sum is σ = 422747771846400. Its totient is φ = 24205677281280.

The previous prime is 107147849266067. The next prime is 107147849266093. The reversal of 107147849266080 is 80662948741701.

107147849266080 is a `hidden beast` number, since 1 + 0 + 7 + 1 + 4 + 7 + 8 + 492 + 6 + 60 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (107147849266067) and next prime (107147849266093).

It is a super-2 number, since 2×107147849266080² (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 107147849265999 and 107147849266017.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2270587126 + ... + 2270634314.

It is an arithmetic number, because the mean of its divisors is an integer number (733937103900).

Almost surely, 2^{107147849266080} is an apocalyptic number.

107147849266080 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 107147849266080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211373885923200).

107147849266080 is an abundant number, since it is smaller than the sum of its proper divisors (315599922580320).

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

107147849266080 is a wasteful number, since it uses less digits than its factorization.

107147849266080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49837 (or 49826 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 107147849266080 in words is "one hundred seven trillion, one hundred forty-seven billion, eight hundred forty-nine million, two hundred sixty-six thousand, eighty".