100747361278080 has 1536 divisors, whose sum is σ = 399169692230400. Its totient is φ = 24279633100800.

The previous prime is 100747361278001. The next prime is 100747361278103. The reversal of 100747361278080 is 80872163747001.

100747361278080 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 4 + 7 + 361 + 278 + 0 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 37466477376 + ... + 37466480064.

Almost surely, 2^{100747361278080} is an apocalyptic number.

100747361278080 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 100747361278080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199584846115200).

100747361278080 is an abundant number, since it is smaller than the sum of its proper divisors (298422330952320).

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

100747361278080 is an equidigital number, since it uses as much as digits as its factorization.

100747361278080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2937 (or 2891 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The spelling of 100747361278080 in words is "one hundred trillion, seven hundred forty-seven billion, three hundred sixty-one million, two hundred seventy-eight thousand, eighty".