103216512 has 256 divisors, whose sum is σ = 344678400. Its totient is φ = 26707968.

The previous prime is 103216511. The next prime is 103216513. The reversal of 103216512 is 215612301.

It is an interprime number because it is at equal distance from previous prime (103216511) and next prime (103216513).

It is a super-2 number, since 2×103216512² = 21307296698892288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103216511) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2196073 + ... + 2196119.

It is an arithmetic number, because the mean of its divisors is an integer number (1346400).

Almost surely, 2^103216512 is an apocalyptic number.

103216512 is a gapful number since it is divisible by the number (12) 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 103216512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172339200).

103216512 is an abundant number, since it is smaller than the sum of its proper divisors (241461888).

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

103216512 is a wasteful number, since it uses less digits than its factorization.

103216512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 103216512 is about 10159.5527460612. The cubic root of 103216512 is about 469.0830348690.

Adding to 103216512 its reverse (215612301), we get a palindrome (318828813).

It can be divided in two parts, 1032 and 16512, that multiplied together give a square (17040384 = 4128²).

The spelling of 103216512 in words is "one hundred three million, two hundred sixteen thousand, five hundred twelve".