106103210304 has 336 divisors, whose sum is σ = 367053051008. Its totient is φ = 26335936512.

The previous prime is 106103210299. The next prime is 106103210309. The reversal of 106103210304 is 403012301601.

It is an interprime number because it is at equal distance from previous prime (106103210299) and next prime (106103210309).

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×106103210304² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106103210309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5038902 + ... + 5059914.

Almost surely, 2^106103210304 is an apocalyptic number.

106103210304 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 106103210304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183526525504).

106103210304 is an abundant number, since it is smaller than the sum of its proper divisors (260949840704).

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

106103210304 is a wasteful number, since it uses less digits than its factorization.

106103210304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21082 (or 21055 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 106103210304 its reverse (403012301601), we get a palindrome (509115511905).

The spelling of 106103210304 in words is "one hundred six billion, one hundred three million, two hundred ten thousand, three hundred four".