103264512 has 72 divisors (see below), whose sum is σ = 296003904. Its totient is φ = 31770624.

The previous prime is 103264501. The next prime is 103264517. The reversal of 103264512 is 215462301.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (103264517) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4813 + ... + 15155.

Almost surely, 2^103264512 is an apocalyptic number.

103264512 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 103264512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148001952).

103264512 is an abundant number, since it is smaller than the sum of its proper divisors (192739392).

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

103264512 is a wasteful number, since it uses less digits than its factorization.

103264512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10375 (or 10361 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 103264512 is about 10161.9147801977. The cubic root of 103264512 is about 469.1557380178.

The spelling of 103264512 in words is "one hundred three million, two hundred sixty-four thousand, five hundred twelve".