10077510345 has 32 divisors (see below), whose sum is σ = 18456318720. Its totient is φ = 4599644160.

The previous prime is 10077510341. The next prime is 10077510361. The reversal of 10077510345 is 54301577001.

It is not a de Polignac number, because 10077510345 - 2² = 10077510341 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10077510341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7560 + ... + 142169.

It is an arithmetic number, because the mean of its divisors is an integer number (576759960).

Almost surely, 2^10077510345 is an apocalyptic number.

10077510345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10077510345 is a deficient number, since it is larger than the sum of its proper divisors (8378808375).

10077510345 is a wasteful number, since it uses less digits than its factorization.

10077510345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150385.

The product of its (nonzero) digits is 14700, while the sum is 33.

The spelling of 10077510345 in words is "ten billion, seventy-seven million, five hundred ten thousand, three hundred forty-five".