103404840 has 384 divisors, whose sum is σ = 421355520. Its totient is φ = 19699200.

The previous prime is 103404827. The next prime is 103404853. The reversal of 103404840 is 48404301.

103404840 = T₁₃₄ + T₁₃₅ + ... + T₈₅₃.

It is an interprime number because it is at equal distance from previous prime (103404827) and next prime (103404853).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 103404840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3335625 + ... + 3335655.

It is an arithmetic number, because the mean of its divisors is an integer number (1097280).

Almost surely, 2^103404840 is an apocalyptic number.

103404840 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 103404840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210677760).

103404840 is an abundant number, since it is smaller than the sum of its proper divisors (317950680).

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

103404840 is a wasteful number, since it uses less digits than its factorization.

103404840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 103404840 is about 10168.8170403445. The cubic root of 103404840 is about 469.3681565465.

The spelling of 103404840 in words is "one hundred three million, four hundred four thousand, eight hundred forty".