106940230186200 has 192 divisors, whose sum is σ = 336550281903360. Its totient is φ = 28084449169920.

The previous prime is 106940230186199. The next prime is 106940230186211. The reversal of 106940230186200 is 2681032049601.

It is a super-2 number, since 2×106940230186200² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 154948282 + ... + 155636918.

It is an arithmetic number, because the mean of its divisors is an integer number (1752866051580).

Almost surely, 2^{106940230186200} is an apocalyptic number.

106940230186200 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 106940230186200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168275140951680).

106940230186200 is an abundant number, since it is smaller than the sum of its proper divisors (229610051717160).

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

106940230186200 is a wasteful number, since it uses less digits than its factorization.

106940230186200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692586 (or 692577 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 106940230186200 in words is "one hundred six trillion, nine hundred forty billion, two hundred thirty million, one hundred eighty-six thousand, two hundred".