10006054541130 has 32 divisors (see below), whose sum is σ = 24019919267904. Its totient is φ = 2667682503296.

The previous prime is 10006054541113. The next prime is 10006054541159. The reversal of 10006054541130 is 3114545060001.

It is a happy number.

It is a super-2 number, since 2×10006054541130² (a number of 27 digits) contains 22 as substring.

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

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 15 ways as a sum of consecutive naturals, for example, 37283292 + ... + 37550711.

It is an arithmetic number, because the mean of its divisors is an integer number (750622477122).

Almost surely, 2^{10006054541130} is an apocalyptic number.

10006054541130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10006054541130 is an abundant number, since it is smaller than the sum of its proper divisors (14013864726774).

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

10006054541130 is a wasteful number, since it uses less digits than its factorization.

10006054541130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74838470.

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 10006054541130 in words is "ten trillion, six billion, fifty-four million, five hundred forty-one thousand, one hundred thirty".