107027765651456 has 192 divisors, whose sum is σ = 231420672559440. Its totient is φ = 49193020293120.

The previous prime is 107027765651423. The next prime is 107027765651519. The reversal of 107027765651456 is 654156567720701.

It can be written as a sum of positive squares in 8 ways, for example, as 78635748582400 + 28392017069056 = 8867680^2 + 5328416^2 .

It is a super-2 number, since 2×107027765651456² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6775187750 + ... + 6775203546.

Almost surely, 2^{107027765651456} is an apocalyptic number.

107027765651456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107027765651456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115710336279720).

107027765651456 is an abundant number, since it is smaller than the sum of its proper divisors (124392906907984).

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

107027765651456 is a wasteful number, since it uses less digits than its factorization.

107027765651456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16870 (or 16850 counting only the distinct ones).

The product of its (nonzero) digits is 74088000, while the sum is 62.

The spelling of 107027765651456 in words is "one hundred seven trillion, twenty-seven billion, seven hundred sixty-five million, six hundred fifty-one thousand, four hundred fifty-six".