107961742135296 has 819 divisors, whose sum is σ = 376985066208831. Its totient is φ = 30810302595072.

The previous prime is 107961742135223. The next prime is 107961742135369. The reversal of 107961742135296 is 692531247169701.

The square root of 107961742135296 is 10390464.

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

107961742135296 is a `hidden beast` number, since 1 + 0 + 7 + 9 + 6 + 174 + 21 + 352 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (107961742135223) and next prime (107961742135369).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 125683052115 + ... + 125683052973.

Almost surely, 2^{107961742135296} is an apocalyptic number.

107961742135296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

107961742135296 is the 10390464-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107961742135296

107961742135296 is an abundant number, since it is smaller than the sum of its proper divisors (269023324073535).

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

107961742135296 is an frugal number, since it uses more digits than its factorization.

107961742135296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1774 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 107961742135296 in words is "one hundred seven trillion, nine hundred sixty-one billion, seven hundred forty-two million, one hundred thirty-five thousand, two hundred ninety-six".