106293600000 has 1728 divisors, whose sum is σ = 485418931200. Its totient is φ = 22394880000.

The previous prime is 106293599999. The next prime is 106293600011. The reversal of 106293600000 is 6392601.

It is a happy number.

106293600000 is a `hidden beast` number, since 1 + 0 + 629 + 36 + 0 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×106293600000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2872799982 + ... + 2872800018.

Almost surely, 2^106293600000 is an apocalyptic number.

106293600000 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 106293600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242709465600).

106293600000 is an abundant number, since it is smaller than the sum of its proper divisors (379125331200).

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

106293600000 is an frugal number, since it uses more digits than its factorization.

106293600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 106293600000 its reverse (6392601), we get a palindrome (106299992601).

The spelling of 106293600000 in words is "one hundred six billion, two hundred ninety-three million, six hundred thousand".