10741940700100 has 81 divisors (see below), whose sum is σ = 23453771617101. Its totient is φ = 4270438370400.

The previous prime is 10741940700089. The next prime is 10741940700119. The reversal of 10741940700100 is 100704914701.

The square root of 10741940700100 is 3277490.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3867098652036 + 6874842048064 = 1966494^2 + 2621992^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5866706185 + ... + 5866708015.

Almost surely, 2^{10741940700100} is an apocalyptic number.

10741940700100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10741940700100 is the 3277490-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10741940700100

10741940700100 is an abundant number, since it is smaller than the sum of its proper divisors (12711830917001).

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

10741940700100 is an frugal number, since it uses more digits than its factorization.

10741940700100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4034 (or 2017 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 34.

The spelling of 10741940700100 in words is "ten trillion, seven hundred forty-one billion, nine hundred forty million, seven hundred thousand, one hundred".