100479296 has 42 divisors (see below), whose sum is σ = 210483450. Its totient is φ = 47584512.

The previous prime is 100479289. The next prime is 100479307. The reversal of 100479296 is 692974001.

It can be written as a sum of positive squares in only one way, i.e., 57760000 + 42719296 = 7600^2 + 6536^2 .

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 20930 + ... + 25278.

Almost surely, 2^100479296 is an apocalyptic number.

100479296 is a gapful number since it is divisible by the number (16) 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 100479296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105241725).

100479296 is an abundant number, since it is smaller than the sum of its proper divisors (110004154).

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

100479296 is an equidigital number, since it uses as much as digits as its factorization.

100479296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4399 (or 4370 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 38.

The square root of 100479296 is about 10023.9361530289. The cubic root of 100479296 is about 464.8992667294.

The spelling of 100479296 in words is "one hundred million, four hundred seventy-nine thousand, two hundred ninety-six".