10742365700 has 72 divisors (see below), whose sum is σ = 25446433824. Its totient is φ = 3903808000.

The previous prime is 10742365693. The next prime is 10742365709. The reversal of 10742365700 is 756324701.

It is not an unprimeable number, because it can be changed into a prime (10742365709) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3185015 + ... + 3188385.

It is an arithmetic number, because the mean of its divisors is an integer number (353422692).

Almost surely, 2^10742365700 is an apocalyptic number.

10742365700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10742365700 is an abundant number, since it is smaller than the sum of its proper divisors (14704068124).

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

10742365700 is a wasteful number, since it uses less digits than its factorization.

10742365700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6293 (or 6286 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 35.

The spelling of 10742365700 in words is "ten billion, seven hundred forty-two million, three hundred sixty-five thousand, seven hundred".