10741138100 has 216 divisors, whose sum is σ = 29715285600. Its totient is φ = 3332448000.

The previous prime is 10741138081. The next prime is 10741138123. The reversal of 10741138100 is 183114701.

It is a super-2 number, since 2×10741138100² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10741138100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18810815 + ... + 18811385.

Almost surely, 2^10741138100 is an apocalyptic number.

10741138100 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 10741138100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14857642800).

10741138100 is an abundant number, since it is smaller than the sum of its proper divisors (18974147500).

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

10741138100 is a wasteful number, since it uses less digits than its factorization.

10741138100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 959 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 26.

It can be divided in two parts, 10741 and 138100, that added together give a palindrome (148841).

The spelling of 10741138100 in words is "ten billion, seven hundred forty-one million, one hundred thirty-eight thousand, one hundred".