10025106000 has 960 divisors, whose sum is σ = 42110804736. Its totient is φ = 2032128000.

The previous prime is 10025105999. The next prime is 10025106001. The reversal of 10025106000 is 60152001.

It is an interprime number because it is at equal distance from previous prime (10025105999) and next prime (10025106001).

It is a super-2 number, since 2×10025106000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10025106001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 164345970 + ... + 164346030.

Almost surely, 2^10025106000 is an apocalyptic number.

10025106000 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 10025106000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21055402368).

10025106000 is an abundant number, since it is smaller than the sum of its proper divisors (32085698736).

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

10025106000 is a wasteful number, since it uses less digits than its factorization.

10025106000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

Adding to 10025106000 its reverse (60152001), we get a palindrome (10085258001).

The spelling of 10025106000 in words is "ten billion, twenty-five million, one hundred six thousand".