10540077700 has 36 divisors (see below), whose sum is σ = 22877762292. Its totient is φ = 4214963200.

The previous prime is 10540077697. The next prime is 10540077703. The reversal of 10540077700 is 777004501.

It is an interprime number because it is at equal distance from previous prime (10540077697) and next prime (10540077703).

It can be written as a sum of positive squares in 6 ways, for example, as 4696086784 + 5843990916 = 68528^2 + 76446^2 .

It is a super-2 number, since 2×10540077700² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10540077703) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 470760 + ... + 492640.

It is an arithmetic number, because the mean of its divisors is an integer number (635493397).

Almost surely, 2^10540077700 is an apocalyptic number.

10540077700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10540077700 is an abundant number, since it is smaller than the sum of its proper divisors (12337684592).

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

10540077700 is a wasteful number, since it uses less digits than its factorization.

10540077700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26712 (or 26705 counting only the distinct ones).

The product of its (nonzero) digits is 6860, while the sum is 31.

The spelling of 10540077700 in words is "ten billion, five hundred forty million, seventy-seven thousand, seven hundred".