103264416 has 96 divisors (see below), whose sum is σ = 304274880. Its totient is φ = 34069248.

The previous prime is 103264333. The next prime is 103264417. The reversal of 103264416 is 614462301.

103264416 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 644 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×103264416² = 21327079223642112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 103264416.

It is not an unprimeable number, because it can be changed into a prime (103264417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91890 + ... + 93006.

It is an arithmetic number, because the mean of its divisors is an integer number (3169530).

Almost surely, 2^103264416 is an apocalyptic number.

103264416 is a gapful number since it is divisible by the number (16) 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 103264416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152137440).

103264416 is an abundant number, since it is smaller than the sum of its proper divisors (201010464).

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

103264416 is a wasteful number, since it uses less digits than its factorization.

103264416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243 (or 1229 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 103264416 is about 10161.9100566773. The cubic root of 103264416 is about 469.1555926340.

The spelling of 103264416 in words is "one hundred three million, two hundred sixty-four thousand, four hundred sixteen".