107085363121 has 27 divisors (see below), whose sum is σ = 119672183449. Its totient is φ = 95750131400.

The previous prime is 107085363061. The next prime is 107085363127. The reversal of 107085363121 is 121363580701.

107085363121 = T₃₈ + T₃₉ + ... + T₈₆₂₈.

The square root of 107085363121 is 327239.

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

It is not a de Polignac number, because 107085363121 - 2¹¹ = 107085361073 is a prime.

It is a super-2 number, since 2×107085363121² (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 (107085363127) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 255573450 + ... + 255573868.

Almost surely, 2^107085363121 is an apocalyptic number.

107085363121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

107085363121 is the 327239-th square number.

107085363121 is the 163620-th centered octagonal number.

It is an amenable number.

107085363121 is a deficient number, since it is larger than the sum of its proper divisors (12586820328).

107085363121 is an frugal number, since it uses more digits than its factorization.

107085363121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The spelling of 107085363121 in words is "one hundred seven billion, eighty-five million, three hundred sixty-three thousand, one hundred twenty-one".