1010872107 has 48 divisors (see below), whose sum is σ = 1709822400. Its totient is φ = 575261568.

The previous prime is 1010872091. The next prime is 1010872117. The reversal of 1010872107 is 7012780101.

1010872107 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1010872107 - 2⁴ = 1010872091 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010872117) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 978063 + ... + 979095.

It is an arithmetic number, because the mean of its divisors is an integer number (35621300).

Almost surely, 2^1010872107 is an apocalyptic number.

1010872107 is a deficient number, since it is larger than the sum of its proper divisors (698950293).

1010872107 is a wasteful number, since it uses less digits than its factorization.

1010872107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1377 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 27.

The square root of 1010872107 is about 31794.2149926681. The cubic root of 1010872107 is about 1003.6109807897.

It can be divided in two parts, 10108 and 72107, that added together give a triangular number (82215 = T₄₀₅).

The spelling of 1010872107 in words is "one billion, ten million, eight hundred seventy-two thousand, one hundred seven".