106201414441620 has 96 divisors (see below), whose sum is σ = 330486864019200. Its totient is φ = 28313308881792.

The previous prime is 106201414441571. The next prime is 106201414441627. The reversal of 106201414441620 is 26144414102601.

106201414441620 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 0 + 14 + 14 + 4 + 4 + 1 + 620 = 666.

It is a super-2 number, since 2×106201414441620² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106201414441627) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22376935 + ... + 26704494.

It is an arithmetic number, because the mean of its divisors is an integer number (3442571500200).

Almost surely, 2^{106201414441620} is an apocalyptic number.

106201414441620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106201414441620 is an abundant number, since it is smaller than the sum of its proper divisors (224285449577580).

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

106201414441620 is a wasteful number, since it uses less digits than its factorization.

106201414441620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49085454 (or 49085446 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 106201414441620 in words is "one hundred six trillion, two hundred one billion, four hundred fourteen million, four hundred forty-one thousand, six hundred twenty".