106221315055142 has 32 divisors (see below), whose sum is σ = 191678179123200. Its totient is φ = 43127312148288.

The previous prime is 106221315055127. The next prime is 106221315055157. The reversal of 106221315055142 is 241550513122601.

106221315055142 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (106221315055127) and next prime (106221315055157).

It is a super-2 number, since 2×106221315055142² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 106221315055096 and 106221315055105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138040859 + ... + 138808217.

It is an arithmetic number, because the mean of its divisors is an integer number (5989943097600).

Almost surely, 2^{106221315055142} is an apocalyptic number.

106221315055142 is a deficient number, since it is larger than the sum of its proper divisors (85456864068058).

106221315055142 is a wasteful number, since it uses less digits than its factorization.

106221315055142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1287780.

The product of its (nonzero) digits is 72000, while the sum is 38.

Adding to 106221315055142 its reverse (241550513122601), we get a palindrome (347771828177743).

The spelling of 106221315055142 in words is "one hundred six trillion, two hundred twenty-one billion, three hundred fifteen million, fifty-five thousand, one hundred forty-two".