104973440 has 256 divisors, whose sum is σ = 312560640. Its totient is φ = 33177600.

The previous prime is 104973439. The next prime is 104973469. The reversal of 104973440 is 44379401.

Added to its reverse (44379401) it gives a square (149352841 = 12221²).

It is a happy number.

It is a super-2 number, since 2×104973440² = 22038846210867200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 104973397 and 104973406.

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, 2837102 + ... + 2837138.

It is an arithmetic number, because the mean of its divisors is an integer number (1220940).

Almost surely, 2^104973440 is an apocalyptic number.

104973440 is a gapful number since it is divisible by the number (10) 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 104973440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156280320).

104973440 is an abundant number, since it is smaller than the sum of its proper divisors (207587200).

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

104973440 is a wasteful number, since it uses less digits than its factorization.

104973440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 104973440 is about 10245.6546886961. The cubic root of 104973440 is about 471.7296162797.

Adding to 104973440 its reverse (44379401), we get a square (149352841 = 12221²).

The spelling of 104973440 in words is "one hundred four million, nine hundred seventy-three thousand, four hundred forty".