104779272 has 64 divisors (see below), whose sum is σ = 289013760. Its totient is φ = 31449600.

The previous prime is 104779267. The next prime is 104779277. The reversal of 104779272 is 272977401.

It is an interprime number because it is at equal distance from previous prime (104779267) and next prime (104779277).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 104779272.

It is not an unprimeable number, because it can be changed into a prime (104779277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8697 + ... + 16887.

It is an arithmetic number, because the mean of its divisors is an integer number (4515840).

Almost surely, 2^104779272 is an apocalyptic number.

104779272 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 104779272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144506880).

104779272 is an abundant number, since it is smaller than the sum of its proper divisors (184234488).

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

104779272 is a wasteful number, since it uses less digits than its factorization.

104779272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8254 (or 8250 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 39.

The square root of 104779272 is about 10236.1746761180. The cubic root of 104779272 is about 471.4385860656.

It can be divided in two parts, 104 and 779272, that added together give a triangular number (779376 = T₁₂₄₈).

The spelling of 104779272 in words is "one hundred four million, seven hundred seventy-nine thousand, two hundred seventy-two".