1025107000 has 128 divisors (see below), whose sum is σ = 2548166400. Its totient is φ = 384912000.

The previous prime is 1025106983. The next prime is 1025107001. The reversal of 1025107000 is 7015201.

1025107000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1025107000² = 2101688722898000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1025107001) 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, 3096835 + ... + 3097165.

It is an arithmetic number, because the mean of its divisors is an integer number (19907550).

Almost surely, 2^1025107000 is an apocalyptic number.

1025107000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1025107000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1274083200).

1025107000 is an abundant number, since it is smaller than the sum of its proper divisors (1523059400).

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

1025107000 is a wasteful number, since it uses less digits than its factorization.

1025107000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 16.

The square root of 1025107000 is about 32017.2922028082. The cubic root of 1025107000 is about 1008.2999207257.

The spelling of 1025107000 in words is "one billion, twenty-five million, one hundred seven thousand".