106187346496 has 315 divisors, whose sum is σ = 281673927507. Its totient is φ = 39572924160.

The previous prime is 106187346493. The next prime is 106187346497. The reversal of 106187346496 is 694643781601.

The square root of 106187346496 is 325864.

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

It is a super-2 number, since 2×106187346496² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106187346491) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 4616841141 + ... + 4616841163.

Almost surely, 2^106187346496 is an apocalyptic number.

106187346496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

106187346496 is the 325864-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106187346496

106187346496 is an abundant number, since it is smaller than the sum of its proper divisors (175486581011).

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

106187346496 is an frugal number, since it uses more digits than its factorization.

106187346496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 55.

The spelling of 106187346496 in words is "one hundred six billion, one hundred eighty-seven million, three hundred forty-six thousand, four hundred ninety-six".