102033157 has 2 divisors, whose sum is σ = 102033158. Its totient is φ = 102033156.

The previous prime is 102033131. The next prime is 102033179. The reversal of 102033157 is 751330201.

It is an a-pointer prime, because the next prime (102033179) can be obtained adding 102033157 to its sum of digits (22).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70324996 + 31708161 = 8386^2 + 5631^2 .

It is an emirp because it is prime and its reverse (751330201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102033157 - 2¹⁵ = 102000389 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102033557) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51016578 + 51016579.

It is an arithmetic number, because the mean of its divisors is an integer number (51016579).

Almost surely, 2^102033157 is an apocalyptic number.

It is an amenable number.

102033157 is a deficient number, since it is larger than the sum of its proper divisors (1).

102033157 is an equidigital number, since it uses as much as digits as its factorization.

102033157 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 630, while the sum is 22.

The square root of 102033157 is about 10101.1463210865. The cubic root of 102033157 is about 467.2834949336.

Adding to 102033157 its reverse (751330201), we get a palindrome (853363358).

The spelling of 102033157 in words is "one hundred two million, thirty-three thousand, one hundred fifty-seven".