106840074496 has 81 divisors (see below), whose sum is σ = 220699067043. Its totient is φ = 51618362880.

The previous prime is 106840074457. The next prime is 106840074503. The reversal of 106840074496 is 694470048601.

The square root of 106840074496 is 326864.

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

It is a super-2 number, since 2×106840074496² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 162124215 + ... + 162124873.

Almost surely, 2^106840074496 is an apocalyptic number.

106840074496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

106840074496 is the 326864-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106840074496

106840074496 is an abundant number, since it is smaller than the sum of its proper divisors (113858992547).

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

106840074496 is an frugal number, since it uses more digits than its factorization.

106840074496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 49.

Multiplying 106840074496 by its sum of digits (49), we get a square (5235163650304 = 2288048²).

The spelling of 106840074496 in words is "one hundred six billion, eight hundred forty million, seventy-four thousand, four hundred ninety-six".