103784054400 has 576 divisors, whose sum is σ = 408599394840. Its totient is φ = 24920064000.

The previous prime is 103784054389. The next prime is 103784054411. The reversal of 103784054400 is 4450487301.

103784054400 is a `hidden beast` number, since 1 + 0 + 3 + 78 + 40 + 544 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (103784054389) and next prime (103784054411).

It can be written as a sum of positive squares in 12 ways, for example, as 465523776 + 103318530624 = 21576^2 + 321432^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×103784054400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15347020 + ... + 15353780.

Almost surely, 2^103784054400 is an apocalyptic number.

103784054400 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 103784054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204299697420).

103784054400 is an abundant number, since it is smaller than the sum of its proper divisors (304815340440).

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

103784054400 is a wasteful number, since it uses less digits than its factorization.

103784054400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6845 (or 6825 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 103784054400 in words is "one hundred three billion, seven hundred eighty-four million, fifty-four thousand, four hundred".