106201622252040 has 1152 divisors, whose sum is σ = 407141400032640. Its totient is φ = 22018469953536.

The previous prime is 106201622252039. The next prime is 106201622252041. The reversal of 106201622252040 is 40252226102601.

It is an interprime number because it is at equal distance from previous prime (106201622252039) and next prime (106201622252041).

It is a super-2 number, since 2×106201622252040² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106201622251992 and 106201622252010.

It is not an unprimeable number, because it can be changed into a prime (106201622252041) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 14642437054 + ... + 14642444306.

It is an arithmetic number, because the mean of its divisors is an integer number (353421354195).

Almost surely, 2^{106201622252040} is an apocalyptic number.

106201622252040 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 106201622252040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203570700016320).

106201622252040 is an abundant number, since it is smaller than the sum of its proper divisors (300939777780600).

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

106201622252040 is a wasteful number, since it uses less digits than its factorization.

106201622252040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7479 (or 7431 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

Adding to 106201622252040 its reverse (40252226102601), we get a palindrome (146453848354641).

The spelling of 106201622252040 in words is "one hundred six trillion, two hundred one billion, six hundred twenty-two million, two hundred fifty-two thousand, forty".