10077743700 has 54 divisors (see below), whose sum is σ = 31588130574. Its totient is φ = 2687398080.

The previous prime is 10077743681. The next prime is 10077743743. The reversal of 10077743700 is 734777001.

It can be written as a sum of positive squares in 3 ways, for example, as 44916804 + 10032826896 = 6702^2 + 100164^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5597847 + ... + 5599646.

It is an arithmetic number, because the mean of its divisors is an integer number (584965381).

Almost surely, 2^10077743700 is an apocalyptic number.

10077743700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10077743700 is an abundant number, since it is smaller than the sum of its proper divisors (21510386874).

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

10077743700 is a wasteful number, since it uses less digits than its factorization.

10077743700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11197513 (or 11197503 counting only the distinct ones).

The product of its (nonzero) digits is 28812, while the sum is 36.

The spelling of 10077743700 in words is "ten billion, seventy-seven million, seven hundred forty-three thousand, seven hundred".