106413682000 has 160 divisors (see below), whose sum is σ = 260391905280. Its totient is φ = 42057881600.

The previous prime is 106413681953. The next prime is 106413682049. The reversal of 106413682000 is 286314601.

It is a happy number.

It is a super-2 number, since 2×106413682000² (a number of 23 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 31 ways as a sum of consecutive naturals, for example, 108253509 + ... + 108254491.

It is an arithmetic number, because the mean of its divisors is an integer number (1627449408).

Almost surely, 2^106413682000 is an apocalyptic number.

106413682000 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 106413682000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130195952640).

106413682000 is an abundant number, since it is smaller than the sum of its proper divisors (153978223280).

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

106413682000 is a wasteful number, since it uses less digits than its factorization.

106413682000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1598 (or 1582 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

Adding to 106413682000 its reverse (286314601), we get a palindrome (106699996601).

The spelling of 106413682000 in words is "one hundred six billion, four hundred thirteen million, six hundred eighty-two thousand".