1051055005100 has 72 divisors (see below), whose sum is σ = 2381893882368. Its totient is φ = 401815022400.

The previous prime is 1051055005097. The next prime is 1051055005159. The reversal of 1051055005100 is 15005501501.

It is a happy number.

It is a super-2 number, since 2×1051055005100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2645687 + ... + 3016913.

Almost surely, 2^{1051055005100} is an apocalyptic number.

1051055005100 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 1051055005100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1190946941184).

1051055005100 is an abundant number, since it is smaller than the sum of its proper divisors (1330838877268).

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

1051055005100 is a wasteful number, since it uses less digits than its factorization.

1051055005100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372495 (or 372488 counting only the distinct ones).

The product of its (nonzero) digits is 625, while the sum is 23.

The spelling of 1051055005100 in words is "one trillion, fifty-one billion, fifty-five million, five thousand, one hundred".