10507102272 has 84 divisors (see below), whose sum is σ = 31232191536. Its totient is φ = 3502362240.

The previous prime is 10507102271. The next prime is 10507102327. The reversal of 10507102272 is 27220170501.

It is a super-2 number, since 2×10507102272² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10507102271) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 322254 + ... + 353357.

It is an arithmetic number, because the mean of its divisors is an integer number (371811804).

Almost surely, 2^10507102272 is an apocalyptic number.

10507102272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10507102272 is an abundant number, since it is smaller than the sum of its proper divisors (20725089264).

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

10507102272 is an frugal number, since it uses more digits than its factorization.

10507102272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675638 (or 675616 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

Adding to 10507102272 its reverse (27220170501), we get a palindrome (37727272773).

The spelling of 10507102272 in words is "ten billion, five hundred seven million, one hundred two thousand, two hundred seventy-two".