100771047926640 has 5120 divisors, whose sum is σ = 477187591372800. Its totient is φ = 19199220203520.

The previous prime is 100771047926491. The next prime is 100771047926713. The reversal of 100771047926640 is 46629740177001.

It is a happy number.

100771047926640 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 71 + 0 + 479 + 2 + 66 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1023 ways as a sum of consecutive naturals, for example, 793472818257 + ... + 793472818383.

It is an arithmetic number, because the mean of its divisors is an integer number (93200701440).

Almost surely, 2^{100771047926640} is an apocalyptic number.

100771047926640 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 100771047926640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238593795686400).

100771047926640 is an abundant number, since it is smaller than the sum of its proper divisors (376416543446160).

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

100771047926640 is a wasteful number, since it uses less digits than its factorization.

100771047926640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 280 counting only the distinct ones).

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

The spelling of 100771047926640 in words is "one hundred trillion, seven hundred seventy-one billion, forty-seven million, nine hundred twenty-six thousand, six hundred forty".