10265067900 has 288 divisors, whose sum is σ = 35177748480. Its totient is φ = 2561898240.

The previous prime is 10265067893. The next prime is 10265067929. The reversal of 10265067900 is 976056201.

It is a super-2 number, since 2×10265067900² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2916942 + ... + 2920458.

It is an arithmetic number, because the mean of its divisors is an integer number (122144960).

Almost surely, 2^10265067900 is an apocalyptic number.

10265067900 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 10265067900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17588874240).

10265067900 is an abundant number, since it is smaller than the sum of its proper divisors (24912680580).

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

10265067900 is a wasteful number, since it uses less digits than its factorization.

10265067900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3610 (or 3597 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 10265067900 in words is "ten billion, two hundred sixty-five million, sixty-seven thousand, nine hundred".