104779008 has 180 divisors, whose sum is σ = 324489088. Its totient is φ = 33592320.

The previous prime is 104778967. The next prime is 104779009. The reversal of 104779008 is 800977401.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104779009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 642735 + ... + 642897.

Almost surely, 2^104779008 is an apocalyptic number.

104779008 is a gapful number since it is divisible by the number (18) 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 104779008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162244544).

104779008 is an abundant number, since it is smaller than the sum of its proper divisors (219710080).

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

104779008 is an equidigital number, since it uses as much as digits as its factorization.

104779008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 104779008 is about 10236.1617806676. The cubic root of 104779008 is about 471.4381901225.

The spelling of 104779008 in words is "one hundred four million, seven hundred seventy-nine thousand, eight".