104998176 has 72 divisors (see below), whose sum is σ = 300294540. Its totient is φ = 34799616.

The previous prime is 104998109. The next prime is 104998177. The reversal of 104998176 is 671899401.

It is a happy number.

104998176 is a `hidden beast` number, since 10 + 499 + 81 + 76 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 102819600 + 2178576 = 10140^2 + 1476^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×104998176² = 22049233926653952, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104998177) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54640 + ... + 56528.

Almost surely, 2^104998176 is an apocalyptic number.

104998176 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 104998176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150147270).

104998176 is an abundant number, since it is smaller than the sum of its proper divisors (195296364).

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

104998176 is a wasteful number, since it uses less digits than its factorization.

104998176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2098 (or 2087 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 104998176 is about 10246.8617634864. The cubic root of 104998176 is about 471.7666662464.

It can be divided in two parts, 1049 and 98176, that added together give a square (99225 = 315²).

The spelling of 104998176 in words is "one hundred four million, nine hundred ninety-eight thousand, one hundred seventy-six".