107836051456 has 117 divisors (see below), whose sum is σ = 251195944401. Its totient is φ = 46152400896.

The previous prime is 107836051423. The next prime is 107836051459. The reversal of 107836051456 is 654150638701.

It is a happy number.

The square root of 107836051456 is 328384.

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

It can be written as a sum of positive squares in only one way, i.e., 105495040000 + 2341011456 = 324800^2 + 48384^2 .

It is a super-2 number, since 2×107836051456² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (107836051459) 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 8 ways as a sum of consecutive naturals, for example, 147115666 + ... + 147116398.

Almost surely, 2^107836051456 is an apocalyptic number.

107836051456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

107836051456 is the 328384-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107836051456

107836051456 is an abundant number, since it is smaller than the sum of its proper divisors (143359892945).

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

107836051456 is an frugal number, since it uses more digits than its factorization.

107836051456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1504 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 46.

The spelling of 107836051456 in words is "one hundred seven billion, eight hundred thirty-six million, fifty-one thousand, four hundred fifty-six".