106629790429008 has 240 divisors, whose sum is σ = 372110406600192. Its totient is φ = 27691572384000.

The previous prime is 106629790428979. The next prime is 106629790429073. The reversal of 106629790429008 is 800924097926601.

It is a super-2 number, since 2×106629790429008² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 68093403 + ... + 69641733.

Almost surely, 2^{106629790429008} is an apocalyptic number.

106629790429008 is a gapful number since it is divisible by the number (18) 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 106629790429008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186055203300096).

106629790429008 is an abundant number, since it is smaller than the sum of its proper divisors (265480616171184).

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

106629790429008 is a wasteful number, since it uses less digits than its factorization.

106629790429008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1554574 (or 1554565 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 106629790429008 in words is "one hundred six trillion, six hundred twenty-nine billion, seven hundred ninety million, four hundred twenty-nine thousand, eight".