10110672 has 120 divisors (see below), whose sum is σ = 33310368. Its totient is φ = 2822400.

The previous prime is 10110671. The next prime is 10110677. The reversal of 10110672 is 27601101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10110671) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20347 + ... + 20837.

Almost surely, 2^10110672 is an apocalyptic number.

10110672 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 10110672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16655184).

10110672 is an abundant number, since it is smaller than the sum of its proper divisors (23199696).

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

10110672 is a wasteful number, since it uses less digits than its factorization.

10110672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 10110672 is about 3179.7282902789. The cubic root of 10110672 is about 216.2353402026.

Adding to 10110672 its reverse (27601101), we get a palindrome (37711773).

The spelling of 10110672 in words is "ten million, one hundred ten thousand, six hundred seventy-two".