106100230566330 has 1152 divisors, whose sum is σ = 382231474200576. Its totient is φ = 19719550310400.

The previous prime is 106100230566329. The next prime is 106100230566359. The reversal of 106100230566330 is 33665032001601.

106100230566330 is a `hidden beast` number, since 1 + 0 + 6 + 10 + 0 + 2 + 3 + 0 + 5 + 6 + 633 + 0 = 666.

It is a super-2 number, since 2×106100230566330² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 32436632595 + ... + 32436635865.

It is an arithmetic number, because the mean of its divisors is an integer number (331798154688).

Almost surely, 2^{106100230566330} is an apocalyptic number.

106100230566330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106100230566330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191115737100288).

106100230566330 is an abundant number, since it is smaller than the sum of its proper divisors (276131243634246).

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

106100230566330 is a wasteful number, since it uses less digits than its factorization.

106100230566330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3652 (or 3612 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

Adding to 106100230566330 its reverse (33665032001601), we get a palindrome (139765262567931).

The spelling of 106100230566330 in words is "one hundred six trillion, one hundred billion, two hundred thirty million, five hundred sixty-six thousand, three hundred thirty".