103955583600 has 480 divisors, whose sum is σ = 404623745280. Its totient is φ = 25140096000.

The previous prime is 103955583583. The next prime is 103955583617. The reversal of 103955583600 is 6385559301.

103955583600 is a `hidden beast` number, since 1 + 0 + 3 + 9 + 5 + 5 + 583 + 60 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (103955583583) and next prime (103955583617).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 66170815 + ... + 66172385.

It is an arithmetic number, because the mean of its divisors is an integer number (842966136).

Almost surely, 2^103955583600 is an apocalyptic number.

103955583600 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 103955583600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202311872640).

103955583600 is an abundant number, since it is smaller than the sum of its proper divisors (300668161680).

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

103955583600 is a wasteful number, since it uses less digits than its factorization.

103955583600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2166 (or 2149 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The spelling of 103955583600 in words is "one hundred three billion, nine hundred fifty-five million, five hundred eighty-three thousand, six hundred".