104739264 has 168 divisors, whose sum is σ = 358475280. Its totient is φ = 29901312.

The previous prime is 104739247. The next prime is 104739269. The reversal of 104739264 is 462937401.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a nialpdrome in base 14.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104739269) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84054 + ... + 85290.

Almost surely, 2^104739264 is an apocalyptic number.

104739264 is a gapful number since it is divisible by the number (14) 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 104739264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179237640).

104739264 is an abundant number, since it is smaller than the sum of its proper divisors (253736016).

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

104739264 is a wasteful number, since it uses less digits than its factorization.

104739264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1272 (or 1249 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 104739264 is about 10234.2202438681. The cubic root of 104739264 is about 471.3785750994.

The spelling of 104739264 in words is "one hundred four million, seven hundred thirty-nine thousand, two hundred sixty-four".