107781946272 has 1152 divisors, whose sum is σ = 435680114688. Its totient is φ = 25306214400.

The previous prime is 107781946267. The next prime is 107781946277. The reversal of 107781946272 is 272649187701.

107781946272 is a `hidden beast` number, since 1 + 0 + 7 + 7 + 8 + 1 + 9 + 4 + 627 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (107781946267) and next prime (107781946277).

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

It is not an unprimeable number, because it can be changed into a prime (107781946277) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 474810223 + ... + 474810449.

It is an arithmetic number, because the mean of its divisors is an integer number (378194544).

Almost surely, 2^107781946272 is an apocalyptic number.

107781946272 is a gapful number since it is divisible by the number (12) 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 107781946272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217840057344).

107781946272 is an abundant number, since it is smaller than the sum of its proper divisors (327898168416).

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

107781946272 is a wasteful number, since it uses less digits than its factorization.

107781946272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The spelling of 107781946272 in words is "one hundred seven billion, seven hundred eighty-one million, nine hundred forty-six thousand, two hundred seventy-two".