106214312000 has 112 divisors (see below), whose sum is σ = 263826973488. Its totient is φ = 42358579200.

The previous prime is 106214311991. The next prime is 106214312021. The reversal of 106214312000 is 213412601.

It can be written as a sum of positive squares in 8 ways, for example, as 34664481856 + 71549830144 = 186184^2 + 267488^2 .

It is a super-2 number, since 2×106214312000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2676302 + ... + 2715698.

Almost surely, 2^106214312000 is an apocalyptic number.

106214312000 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 106214312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131913486744).

106214312000 is an abundant number, since it is smaller than the sum of its proper divisors (157612661488).

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

106214312000 is an equidigital number, since it uses as much as digits as its factorization.

106214312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39761 (or 39741 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 106214312000 its reverse (213412601), we get a palindrome (106427724601).

The spelling of 106214312000 in words is "one hundred six billion, two hundred fourteen million, three hundred twelve thousand".