100681074720 has 288 divisors, whose sum is σ = 365435546112. Its totient is φ = 25154297856.

The previous prime is 100681074719. The next prime is 100681074731. The reversal of 100681074720 is 27470186001.

100681074720 is a `hidden beast` number, since 100 + 6 + 81 + 0 + 7 + 472 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5449819 + ... + 5468261.

It is an arithmetic number, because the mean of its divisors is an integer number (1268873424).

Almost surely, 2^100681074720 is an apocalyptic number.

100681074720 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 100681074720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182717773056).

100681074720 is an abundant number, since it is smaller than the sum of its proper divisors (264754471392).

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

100681074720 is a wasteful number, since it uses less digits than its factorization.

100681074720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18704 (or 18693 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 100681074720 in words is "one hundred billion, six hundred eighty-one million, seventy-four thousand, seven hundred twenty".