10100256540 has 192 divisors, whose sum is σ = 31326801408. Its totient is φ = 2411136000.

The previous prime is 10100256539. The next prime is 10100256557. The reversal of 10100256540 is 4565200101.

It is a self number, because there is not a number n which added to its sum of digits gives 10100256540.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18464547 + ... + 18465093.

It is an arithmetic number, because the mean of its divisors is an integer number (163160424).

Almost surely, 2^10100256540 is an apocalyptic number.

10100256540 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 10100256540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15663400704).

10100256540 is an abundant number, since it is smaller than the sum of its proper divisors (21226544868).

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

10100256540 is a wasteful number, since it uses less digits than its factorization.

10100256540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 10100256540 its reverse (4565200101), we get a palindrome (14665456641).

The spelling of 10100256540 in words is "ten billion, one hundred million, two hundred fifty-six thousand, five hundred forty".