51070705100 has 144 divisors (see below), whose sum is σ = 117405818880. Its totient is φ = 19256486400.

The previous prime is 51070705087. The next prime is 51070705121. The reversal of 51070705100 is 150707015.

51070705100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×51070705100² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 51070705100.

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, 18781541 + ... + 18784259.

Almost surely, 2^51070705100 is an apocalyptic number.

51070705100 is a gapful number since it is divisible by the number (50) 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 51070705100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58702909440).

51070705100 is an abundant number, since it is smaller than the sum of its proper divisors (66335113780).

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

51070705100 is a wasteful number, since it uses less digits than its factorization.

51070705100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2920 (or 2913 counting only the distinct ones).

The product of its (nonzero) digits is 1225, while the sum is 26.

The spelling of 51070705100 in words is "fifty-one billion, seventy million, seven hundred five thousand, one hundred".