102703968 has 108 divisors (see below), whose sum is σ = 309696660. Its totient is φ = 32196096.

The previous prime is 102703963. The next prime is 102703973. The reversal of 102703968 is 869307201.

It is an interprime number because it is at equal distance from previous prime (102703963) and next prime (102703973).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102703963) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 749596 + ... + 749732.

Almost surely, 2^102703968 is an apocalyptic number.

102703968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102703968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154848330).

102703968 is an abundant number, since it is smaller than the sum of its proper divisors (206992692).

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

102703968 is a wasteful number, since it uses less digits than its factorization.

102703968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 102703968 is about 10134.2966208810. The cubic root of 102703968 is about 468.3053015591.

The spelling of 102703968 in words is "one hundred two million, seven hundred three thousand, nine hundred sixty-eight".