10107072 has 56 divisors (see below), whose sum is σ = 29718000. Its totient is φ = 3368448.

The previous prime is 10107067. The next prime is 10107073. The reversal of 10107072 is 27070101.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is not an unprimeable number, because it can be changed into a prime (10107073) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1197 + ... + 4652.

Almost surely, 2^10107072 is an apocalyptic number.

10107072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10107072 is an abundant number, since it is smaller than the sum of its proper divisors (19610928).

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

10107072 is an equidigital number, since it uses as much as digits as its factorization.

10107072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5870 (or 5854 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 18.

The square root of 10107072 is about 3179.1621537757. The cubic root of 10107072 is about 216.2096729461.

Adding to 10107072 its reverse (27070101), we get a palindrome (37177173).

The spelling of 10107072 in words is "ten million, one hundred seven thousand, seventy-two".