100747047166920 has 3456 divisors, whose sum is σ = 459218504908800. Its totient is φ = 19011573504000.

The previous prime is 100747047166919. The next prime is 100747047166921. The reversal of 100747047166920 is 29661740747001.

It is a happy number.

100747047166920 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 470 + 4 + 7 + 166 + 9 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (100747047166919) and next prime (100747047166921).

It is not an unprimeable number, because it can be changed into a prime (100747047166921) by changing a digit.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 159662515005 + ... + 159662515635.

It is an arithmetic number, because the mean of its divisors is an integer number (132875724800).

Almost surely, 2^{100747047166920} is an apocalyptic number.

100747047166920 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 100747047166920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229609252454400).

100747047166920 is an abundant number, since it is smaller than the sum of its proper divisors (358471457741880).

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

100747047166920 is a wasteful number, since it uses less digits than its factorization.

100747047166920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 100747047166920 in words is "one hundred trillion, seven hundred forty-seven billion, forty-seven million, one hundred sixty-six thousand, nine hundred twenty".