106830202752000 has 4928 divisors, whose sum is σ = 514129384065024. Its totient is φ = 21520583884800.

The previous prime is 106830202751981. The next prime is 106830202752001. The reversal of 106830202752000 is 257202038601.

106830202752000 is a `hidden beast` number, since 1 + 0 + 68 + 30 + 20 + 27 + 520 + 0 + 0 = 666.

It is a super-2 number, since 2×106830202752000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (106830202752001) by changing a digit.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 195302015727 + ... + 195302016273.

Almost surely, 2^{106830202752000} is an apocalyptic number.

106830202752000 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 106830202752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257064692032512).

106830202752000 is an abundant number, since it is smaller than the sum of its proper divisors (407299181313024).

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

106830202752000 is an equidigital number, since it uses as much as digits as its factorization.

106830202752000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 106830202752000 in words is "one hundred six trillion, eight hundred thirty billion, two hundred two million, seven hundred fifty-two thousand".