100930613760 has 480 divisors, whose sum is σ = 366771525120. Its totient is φ = 26597818368.

The previous prime is 100930613743. The next prime is 100930613779. The reversal of 100930613760 is 67316039001.

100930613760 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 30 + 613 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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, 55364209 + ... + 55366031.

It is an arithmetic number, because the mean of its divisors is an integer number (764107344).

Almost surely, 2^100930613760 is an apocalyptic number.

100930613760 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 100930613760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183385762560).

100930613760 is an abundant number, since it is smaller than the sum of its proper divisors (265840911360).

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

100930613760 is an frugal number, since it uses more digits than its factorization.

100930613760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1950 (or 1922 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The spelling of 100930613760 in words is "one hundred billion, nine hundred thirty million, six hundred thirteen thousand, seven hundred sixty".