106202216325 has 48 divisors (see below), whose sum is σ = 177797745216. Its totient is φ = 55928985600.

The previous prime is 106202216317. The next prime is 106202216333. The reversal of 106202216325 is 523612202601.

It is an interprime number because it is at equal distance from previous prime (106202216317) and next prime (106202216333).

It is not a de Polignac number, because 106202216325 - 2³ = 106202216317 is a prime.

It is a super-2 number, since 2×106202216325² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106202216292 and 106202216301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16536615 + ... + 16543035.

It is an arithmetic number, because the mean of its divisors is an integer number (3704119692).

Almost surely, 2^106202216325 is an apocalyptic number.

106202216325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106202216325 is a deficient number, since it is larger than the sum of its proper divisors (71595528891).

106202216325 is a wasteful number, since it uses less digits than its factorization.

106202216325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9174 (or 9169 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 106202216325 its reverse (523612202601), we get a palindrome (629814418926).

The spelling of 106202216325 in words is "one hundred six billion, two hundred two million, two hundred sixteen thousand, three hundred twenty-five".