10105872 has 80 divisors (see below), whose sum is σ = 31426560. Its totient is φ = 2733696.

The previous prime is 10105859. The next prime is 10105883. The reversal of 10105872 is 27850101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5593 + ... + 7175.

It is an arithmetic number, because the mean of its divisors is an integer number (392832).

Almost surely, 2^10105872 is an apocalyptic number.

10105872 is a gapful number since it is divisible by the number (12) 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 10105872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15713280).

10105872 is an abundant number, since it is smaller than the sum of its proper divisors (21320688).

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

10105872 is a wasteful number, since it uses less digits than its factorization.

10105872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1620 (or 1614 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 24.

The square root of 10105872 is about 3178.9734192031. The cubic root of 10105872 is about 216.2011158396.

Adding to 10105872 its reverse (27850101), we get a palindrome (37955973).

The spelling of 10105872 in words is "ten million, one hundred five thousand, eight hundred seventy-two".