1007106125 has 16 divisors (see below), whose sum is σ = 1261915200. Its totient is φ = 802450000.

The previous prime is 1007106119. The next prime is 1007106143. The reversal of 1007106125 is 5216017001.

It is not a de Polignac number, because 1007106125 - 2¹⁶ = 1007040589 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1007106125.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15326 + ... + 47424.

It is an arithmetic number, because the mean of its divisors is an integer number (78869700).

Almost surely, 2^1007106125 is an apocalyptic number.

It is an amenable number.

1007106125 is a deficient number, since it is larger than the sum of its proper divisors (254809075).

1007106125 is an equidigital number, since it uses as much as digits as its factorization.

1007106125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32365 (or 32355 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 23.

The square root of 1007106125 is about 31734.9354024866. The cubic root of 1007106125 is about 1002.3631196003.

The spelling of 1007106125 in words is "one billion, seven million, one hundred six thousand, one hundred twenty-five".