102967983 has 16 divisors (see below), whose sum is σ = 152793600. Its totient is φ = 68533560.

The previous prime is 102967961. The next prime is 102968051. The reversal of 102967983 is 389769201.

It is not a de Polignac number, because 102967983 - 2⁸ = 102967727 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102967483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15898 + ... + 21416.

It is an arithmetic number, because the mean of its divisors is an integer number (9549600).

Almost surely, 2^102967983 is an apocalyptic number.

102967983 is a deficient number, since it is larger than the sum of its proper divisors (49825617).

102967983 is an equidigital number, since it uses as much as digits as its factorization.

102967983 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6219 (or 6213 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 102967983 is about 10147.3140781194. The cubic root of 102967983 is about 468.7062397549.

The spelling of 102967983 in words is "one hundred two million, nine hundred sixty-seven thousand, nine hundred eighty-three".