103427904000 has 320 divisors, whose sum is σ = 354984993792. Its totient is φ = 26689536000.

The previous prime is 103427903983. The next prime is 103427904029. The reversal of 103427904000 is 409724301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

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

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, 5943312 + ... + 5960688.

Almost surely, 2^103427904000 is an apocalyptic number.

103427904000 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 103427904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177492496896).

103427904000 is an abundant number, since it is smaller than the sum of its proper divisors (251557089792).

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

103427904000 is an equidigital number, since it uses as much as digits as its factorization.

103427904000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17444 (or 17418 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The spelling of 103427904000 in words is "one hundred three billion, four hundred twenty-seven million, nine hundred four thousand".