102349968 has 80 divisors (see below), whose sum is σ = 303313920. Its totient is φ = 29132928.

The previous prime is 102349963. The next prime is 102349969. The reversal of 102349968 is 869943201.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102349963) 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, 140421 + ... + 141147.

It is an arithmetic number, because the mean of its divisors is an integer number (3791424).

Almost surely, 2^102349968 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 102349968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151656960).

102349968 is an abundant number, since it is smaller than the sum of its proper divisors (200963952).

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

102349968 is a wasteful number, since it uses less digits than its factorization.

102349968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 102349968 is about 10116.8160999397. The cubic root of 102349968 is about 467.7666306723.

It can be divided in two parts, 10234 and 9968, that added together give a palindrome (20202).

The spelling of 102349968 in words is "one hundred two million, three hundred forty-nine thousand, nine hundred sixty-eight".