103364864 has 72 divisors (see below), whose sum is σ = 220752000. Its totient is φ = 48162816.

The previous prime is 103364857. The next prime is 103364897. The reversal of 103364864 is 468463301.

103364864 = T₃₆₂ + T₃₆₃ + ... + T₈₇₃.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 384122 + ... + 384390.

It is an arithmetic number, because the mean of its divisors is an integer number (3066000).

Almost surely, 2^103364864 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 103364864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110376000).

103364864 is an abundant number, since it is smaller than the sum of its proper divisors (117387136).

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

103364864 is an equidigital number, since it uses as much as digits as its factorization.

103364864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 35.

The square root of 103364864 is about 10166.8512332974. The cubic root of 103364864 is about 469.3076633113.

The spelling of 103364864 in words is "one hundred three million, three hundred sixty-four thousand, eight hundred sixty-four".