102016133 has 24 divisors (see below), whose sum is σ = 114351360. Its totient is φ = 90869760.

The previous prime is 102016121. The next prime is 102016147. The reversal of 102016133 is 331610201.

It is not a de Polignac number, because 102016133 - 2⁶ = 102016069 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102016153) 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, 528485 + ... + 528677.

It is an arithmetic number, because the mean of its divisors is an integer number (4764640).

Almost surely, 2^102016133 is an apocalyptic number.

It is an amenable number.

102016133 is a deficient number, since it is larger than the sum of its proper divisors (12335227).

102016133 is a wasteful number, since it uses less digits than its factorization.

102016133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 102016133 is about 10100.3036092981. The cubic root of 102016133 is about 467.2575050923.

Adding to 102016133 its reverse (331610201), we get a palindrome (433626334).

The spelling of 102016133 in words is "one hundred two million, sixteen thousand, one hundred thirty-three".