10020157 has 24 divisors (see below), whose sum is σ = 12902976. Its totient is φ = 7717248.

The previous prime is 10020151. The next prime is 10020169. The reversal of 10020157 is 75102001.

It is not a de Polignac number, because 10020157 - 2¹¹ = 10018109 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10020157.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10020151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18898 + ... + 19420.

It is an arithmetic number, because the mean of its divisors is an integer number (537624).

Almost surely, 2^10020157 is an apocalyptic number.

10020157 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

10020157 is a deficient number, since it is larger than the sum of its proper divisors (2882819).

10020157 is a wasteful number, since it uses less digits than its factorization.

10020157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 16.

The square root of 10020157 is about 3165.4631572647. The cubic root of 10020157 is about 215.5881283169.

Adding to 10020157 its reverse (75102001), we get a palindrome (85122158).

The spelling of 10020157 in words is "ten million, twenty thousand, one hundred fifty-seven".