20107152 has 120 divisors (see below), whose sum is σ = 63370944. Its totient is φ = 5905152.

The previous prime is 20107151. The next prime is 20107163. The reversal of 20107152 is 25170102.

20107152 is nontrivially palindromic in base 5.

It is a super-2 number, since 2×20107152² = 808595123102208, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (20107151) 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, 42823 + ... + 43289.

Almost surely, 2^20107152 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 20107152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31685472).

20107152 is an abundant number, since it is smaller than the sum of its proper divisors (43263792).

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

20107152 is a wasteful number, since it uses less digits than its factorization.

20107152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 20107152 is about 4484.0999096809. The cubic root of 20107152 is about 271.9256573066.

Adding to 20107152 its reverse (25170102), we get a palindrome (45277254).

The spelling of 20107152 in words is "twenty million, one hundred seven thousand, one hundred fifty-two".