104534976 has 224 divisors, whose sum is σ = 353210368. Its totient is φ = 26542080.

The previous prime is 104534959. The next prime is 104534981. The reversal of 104534976 is 679435401.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×104534976² = 21855122414641152, which contains 22 as substring.

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

It is a congruent number.

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, 541536 + ... + 541728.

It is an arithmetic number, because the mean of its divisors is an integer number (1576832).

Almost surely, 2^104534976 is an apocalyptic number.

104534976 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 104534976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176605184).

104534976 is an abundant number, since it is smaller than the sum of its proper divisors (248675392).

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

104534976 is a wasteful number, since it uses less digits than its factorization.

104534976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 104534976 is about 10224.2347390893. The cubic root of 104534976 is about 471.0719099009.

The spelling of 104534976 in words is "one hundred four million, five hundred thirty-four thousand, nine hundred seventy-six".