106929961792290 has 1728 divisors, whose sum is σ = 383950630103040. Its totient is φ = 21280617146880.

The previous prime is 106929961792289. The next prime is 106929961792301. The reversal of 106929961792290 is 92297169929601.

106929961792290 is a `hidden beast` number, since 1 + 0 + 69 + 29 + 96 + 179 + 2 + 290 = 666.

It is a super-2 number, since 2×106929961792290² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 117376466935 + ... + 117376467845.

It is an arithmetic number, because the mean of its divisors is an integer number (222193651680).

Almost surely, 2^{106929961792290} is an apocalyptic number.

106929961792290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106929961792290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191975315051520).

106929961792290 is an abundant number, since it is smaller than the sum of its proper divisors (277020668310750).

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

106929961792290 is a wasteful number, since it uses less digits than its factorization.

106929961792290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1299 (or 1267 counting only the distinct ones).

The product of its (nonzero) digits is 119042784, while the sum is 72.

The spelling of 106929961792290 in words is "one hundred six trillion, nine hundred twenty-nine billion, nine hundred sixty-one million, seven hundred ninety-two thousand, two hundred ninety".