10100023440 has 320 divisors, whose sum is σ = 34746776064. Its totient is φ = 2411495424.

The previous prime is 10100023403. The next prime is 10100023469. The reversal of 10100023440 is 4432000101.

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

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, 17031784 + ... + 17032376.

Almost surely, 2^10100023440 is an apocalyptic number.

10100023440 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 10100023440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17373388032).

10100023440 is an abundant number, since it is smaller than the sum of its proper divisors (24646752624).

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

10100023440 is a wasteful number, since it uses less digits than its factorization.

10100023440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 10100023440 its reverse (4432000101), we get a palindrome (14532023541).

The spelling of 10100023440 in words is "ten billion, one hundred million, twenty-three thousand, four hundred forty".