10054645041100 has 288 divisors, whose sum is σ = 25531604372736. Its totient is φ = 3396270489600.

The previous prime is 10054645041079. The next prime is 10054645041143. The reversal of 10054645041100 is 114054645001.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1888903039 + ... + 1888908361.

It is an arithmetic number, because the mean of its divisors is an integer number (88651404072).

Almost surely, 2^{10054645041100} is an apocalyptic number.

10054645041100 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 10054645041100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12765802186368).

10054645041100 is an abundant number, since it is smaller than the sum of its proper divisors (15476959331636).

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

10054645041100 is a wasteful number, since it uses less digits than its factorization.

10054645041100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6665 (or 6658 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

Adding to 10054645041100 its reverse (114054645001), we get a palindrome (10168699686101).

The spelling of 10054645041100 in words is "ten trillion, fifty-four billion, six hundred forty-five million, forty-one thousand, one hundred".