106669635072 has 1440 divisors, whose sum is σ = 422139918816. Its totient is φ = 23616552960.

The previous prime is 106669635053. The next prime is 106669635119. The reversal of 106669635072 is 270536966601.

It is a happy number.

It is a super-2 number, since 2×106669635072² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2012634598 + ... + 2012634650.

Almost surely, 2^106669635072 is an apocalyptic number.

106669635072 is a gapful number since it is divisible by the number (12) 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 106669635072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211069959408).

106669635072 is an abundant number, since it is smaller than the sum of its proper divisors (315470283744).

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

106669635072 is a wasteful number, since it uses less digits than its factorization.

106669635072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 51.

The spelling of 106669635072 in words is "one hundred six billion, six hundred sixty-nine million, six hundred thirty-five thousand, seventy-two".