10051105500 has 576 divisors, whose sum is σ = 35655355008. Its totient is φ = 2372198400.

The previous prime is 10051105489. The next prime is 10051105511. The reversal of 10051105500 is 550115001.

10051105500 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 110 + 550 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10051105489) and next prime (10051105511).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 150016467 + ... + 150016533.

It is an arithmetic number, because the mean of its divisors is an integer number (61901658).

Almost surely, 2^10051105500 is an apocalyptic number.

10051105500 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 10051105500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17827677504).

10051105500 is an abundant number, since it is smaller than the sum of its proper divisors (25604249508).

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

10051105500 is a wasteful number, since it uses less digits than its factorization.

10051105500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 125, while the sum is 18.

The spelling of 10051105500 in words is "ten billion, fifty-one million, one hundred five thousand, five hundred".