10106272 has 24 divisors (see below), whose sum is σ = 21706272. Its totient is φ = 4593600.

The previous prime is 10106251. The next prime is 10106281. The reversal of 10106272 is 27260101.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14004 + ... + 14707.

It is an arithmetic number, because the mean of its divisors is an integer number (904428).

Almost surely, 2^10106272 is an apocalyptic number.

It is an amenable number.

10106272 is an abundant number, since it is smaller than the sum of its proper divisors (11600000).

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

10106272 is a wasteful number, since it uses less digits than its factorization.

10106272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28732 (or 28724 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 10106272 is about 3179.0363319723. The cubic root of 10106272 is about 216.2039682837.

Adding to 10106272 its reverse (27260101), we get a palindrome (37366373).

The spelling of 10106272 in words is "ten million, one hundred six thousand, two hundred seventy-two".