124879104 has 288 divisors, whose sum is σ = 441504000. Its totient is φ = 34062336.

The previous prime is 124879091. The next prime is 124879147. The reversal of 124879104 is 401978421.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1403092 + ... + 1403180.

It is an arithmetic number, because the mean of its divisors is an integer number (1533000).

Almost surely, 2^124879104 is an apocalyptic number.

124879104 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 124879104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220752000).

124879104 is an abundant number, since it is smaller than the sum of its proper divisors (316624896).

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

124879104 is an equidigital number, since it uses as much as digits as its factorization.

124879104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 124879104 is about 11174.9319461015. The cubic root of 124879104 is about 499.8387533380.

The spelling of 124879104 in words is "one hundred twenty-four million, eight hundred seventy-nine thousand, one hundred four".