106690348475616 has 48 divisors (see below), whose sum is σ = 280079006682384. Its totient is φ = 35561310833664.

The previous prime is 106690348475611. The next prime is 106690348475639. The reversal of 106690348475616 is 616574843096601.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×106690348475616² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106690348475611) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31811451 + ... + 35004986.

It is an arithmetic number, because the mean of its divisors is an integer number (5834979305883).

Almost surely, 2^{106690348475616} is an apocalyptic number.

106690348475616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106690348475616 is an abundant number, since it is smaller than the sum of its proper divisors (173388658206768).

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

106690348475616 is a wasteful number, since it uses less digits than its factorization.

106690348475616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66833083 (or 66833075 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 66.

The spelling of 106690348475616 in words is "one hundred six trillion, six hundred ninety billion, three hundred forty-eight million, four hundred seventy-five thousand, six hundred sixteen".