10105072 has 40 divisors (see below), whose sum is σ = 20998656. Its totient is φ = 4694016.

The previous prime is 10105061. The next prime is 10105091. The reversal of 10105072 is 27050101.

It is a super-2 number, since 2×10105072² = 204224960250368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26193 + ... + 26575.

Almost surely, 2^10105072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10105072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10499328).

10105072 is an abundant number, since it is smaller than the sum of its proper divisors (10893584).

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

10105072 is a wasteful number, since it uses less digits than its factorization.

10105072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 16.

The square root of 10105072 is about 3178.8475899294. The cubic root of 10105072 is about 216.1954107255.

Adding to 10105072 its reverse (27050101), we get a palindrome (37155173).

The spelling of 10105072 in words is "ten million, one hundred five thousand, seventy-two".