104890464 has 288 divisors, whose sum is σ = 369847296. Its totient is φ = 28615680.

The previous prime is 104890463. The next prime is 104890481. The reversal of 104890464 is 464098401.

It is a happy number.

104890464 is a `hidden beast` number, since 104 + 8 + 90 + 464 = 666.

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

It is a super-2 number, since 2×104890464² = 22004018876270592, which contains 22 as substring.

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 (104890463) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2231689 + ... + 2231735.

It is an arithmetic number, because the mean of its divisors is an integer number (1284192).

Almost surely, 2^104890464 is an apocalyptic number.

104890464 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 104890464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184923648).

104890464 is an abundant number, since it is smaller than the sum of its proper divisors (264956832).

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

104890464 is an equidigital number, since it uses as much as digits as its factorization.

104890464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 104890464 is about 10241.6045617862. The cubic root of 104890464 is about 471.6052910076.

The spelling of 104890464 in words is "one hundred four million, eight hundred ninety thousand, four hundred sixty-four".