106206502200 has 192 divisors, whose sum is σ = 345435985920. Its totient is φ = 26958528000.

The previous prime is 106206502183. The next prime is 106206502223. The reversal of 106206502200 is 2205602601.

It is a super-2 number, since 2×106206502200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1087797 + ... + 1181403.

It is an arithmetic number, because the mean of its divisors is an integer number (1799145760).

Almost surely, 2^106206502200 is an apocalyptic number.

106206502200 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 106206502200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172717992960).

106206502200 is an abundant number, since it is smaller than the sum of its proper divisors (239229483720).

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

106206502200 is a wasteful number, since it uses less digits than its factorization.

106206502200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93718 (or 93709 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The spelling of 106206502200 in words is "one hundred six billion, two hundred six million, five hundred two thousand, two hundred".