100314711840 has 384 divisors, whose sum is σ = 366056312832. Its totient is φ = 22618828800.

The previous prime is 100314711727. The next prime is 100314711859. The reversal of 100314711840 is 48117413001.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 100314711798 and 100314711807.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82699074 + ... + 82700286.

It is an arithmetic number, because the mean of its divisors is an integer number (953271648).

Almost surely, 2^100314711840 is an apocalyptic number.

100314711840 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 100314711840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183028156416).

100314711840 is an abundant number, since it is smaller than the sum of its proper divisors (265741600992).

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

100314711840 is a wasteful number, since it uses less digits than its factorization.

100314711840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1552 (or 1544 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The spelling of 100314711840 in words is "one hundred billion, three hundred fourteen million, seven hundred eleven thousand, eight hundred forty".