106991793216 has 945 divisors, whose sum is σ = 412516680807. Its totient is φ = 27319057920.

The previous prime is 106991793199. The next prime is 106991793241. The reversal of 106991793216 is 612397199601.

The square root of 106991793216 is 327096.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×106991793216² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1813420195 + ... + 1813420253.

Almost surely, 2^106991793216 is an apocalyptic number.

106991793216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

106991793216 is the 327096-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106991793216

106991793216 is an abundant number, since it is smaller than the sum of its proper divisors (305524887591).

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

106991793216 is an equidigital number, since it uses as much as digits as its factorization.

106991793216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 1102248, while the sum is 54.

The spelling of 106991793216 in words is "one hundred six billion, nine hundred ninety-one million, seven hundred ninety-three thousand, two hundred sixteen".