10051316100 has 324 divisors, whose sum is σ = 36991671444. Its totient is φ = 2275983360.

The previous prime is 10051316087. The next prime is 10051316101. The reversal of 10051316100 is 161315001.

10051316100 is a `hidden beast` number, since 1 + 0 + 0 + 51 + 3 + 1 + 610 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 752185476 + 9299130624 = 27426^2 + 96432^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10051316101) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4982292 + ... + 4984308.

Almost surely, 2^10051316100 is an apocalyptic number.

10051316100 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 10051316100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18495835722).

10051316100 is an abundant number, since it is smaller than the sum of its proper divisors (26940355344).

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

10051316100 is a wasteful number, since it uses less digits than its factorization.

10051316100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2164 (or 2147 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The spelling of 10051316100 in words is "ten billion, fifty-one million, three hundred sixteen thousand, one hundred".