106066303026432 has 144 divisors (see below), whose sum is σ = 322633321758720. Its totient is φ = 30303250569216.

The previous prime is 106066303026427. The next prime is 106066303026433. The reversal of 106066303026432 is 234620303660601.

It is a super-2 number, since 2×106066303026432² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106066303026433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118163569 + ... + 119057807.

It is an arithmetic number, because the mean of its divisors is an integer number (2240509178880).

Almost surely, 2^{106066303026432} is an apocalyptic number.

106066303026432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106066303026432 is an abundant number, since it is smaller than the sum of its proper divisors (216567018732288).

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

106066303026432 is an equidigital number, since it uses as much as digits as its factorization.

106066303026432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916328 (or 916314 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 42.

The spelling of 106066303026432 in words is "one hundred six trillion, sixty-six billion, three hundred three million, twenty-six thousand, four hundred thirty-two".