10541540100 has 288 divisors, whose sum is σ = 39516359680. Its totient is φ = 2106984960.

The previous prime is 10541540083. The next prime is 10541540117. The reversal of 10541540100 is 104514501.

It is an interprime number because it is at equal distance from previous prime (10541540083) and next prime (10541540117).

It is a super-2 number, since 2×10541540100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 508539 + ... + 528861.

Almost surely, 2^10541540100 is an apocalyptic number.

10541540100 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 10541540100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19758179840).

10541540100 is an abundant number, since it is smaller than the sum of its proper divisors (28974819580).

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

10541540100 is a wasteful number, since it uses less digits than its factorization.

10541540100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20379 (or 20372 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The spelling of 10541540100 in words is "ten billion, five hundred forty-one million, five hundred forty thousand, one hundred".