106903604304 has 320 divisors, whose sum is σ = 375916654080. Its totient is φ = 28746067968.

The previous prime is 106903604293. The next prime is 106903604333. The reversal of 106903604304 is 403406309601.

106903604304 is a `hidden beast` number, since 10 + 6 + 9 + 0 + 3 + 604 + 30 + 4 = 666.

It is a super-2 number, since 2×106903604304² (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 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, 4151212 + ... + 4176884.

It is an arithmetic number, because the mean of its divisors is an integer number (1174739544).

Almost surely, 2^106903604304 is an apocalyptic number.

106903604304 is a gapful number since it is divisible by the number (14) 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 106903604304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187958327040).

106903604304 is an abundant number, since it is smaller than the sum of its proper divisors (269013049776).

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

106903604304 is an equidigital number, since it uses as much as digits as its factorization.

106903604304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25726 (or 25702 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 106903604304 in words is "one hundred six billion, nine hundred three million, six hundred four thousand, three hundred four".