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104744640 = 263571113109

104744640 has 448 divisors, whose sum is σ = 450616320. Its totient is φ = 19906560.

The previous prime is 104744621. The next prime is 104744657. The reversal of 104744640 is 46447401.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 104744598 and 104744607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 960906 + ... + 961014.

It is an arithmetic number, because the mean of its divisors is an integer number (1005840).

Almost surely, 2104744640 is an apocalyptic number.

104744640 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 104744640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225308160).

104744640 is an abundant number, since it is smaller than the sum of its proper divisors (345871680).

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

104744640 is a wasteful number, since it uses less digits than its factorization.

104744640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 104744640 is about 10234.4828887443. The cubic root of 104744640 is about 471.3866398491.

The spelling of 104744640 in words is "one hundred four million, seven hundred forty-four thousand, six hundred forty".