107137727761 has 3 divisors (see below), whose sum is σ = 107138055081. Its totient is φ = 107137400442.

The previous prime is 107137727701. The next prime is 107137727779. The reversal of 107137727761 is 167727731701.

The square root of 107137727761 is 327319.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 167727731701 = 17881 ⋅9380221.

It is not a de Polignac number, because 107137727761 - 2¹³ = 107137719569 is a prime.

It is a super-2 number, since 2×107137727761² (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 (107137727701) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 163660 + ... + 490978.

It is an arithmetic number, because the mean of its divisors is an integer number (35712685027).

Almost surely, 2^107137727761 is an apocalyptic number.

107137727761 is the 327319-th square number.

107137727761 is the 163660-th centered octagonal number.

It is an amenable number.

107137727761 is a deficient number, since it is larger than the sum of its proper divisors (327320).

107137727761 is an frugal number, since it uses more digits than its factorization.

107137727761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654638 (or 327319 counting only the distinct ones).

The product of its (nonzero) digits is 605052, while the sum is 49.

Multiplying 107137727761 by its sum of digits (49), we get a square (5249748660289 = 2291233²).

The spelling of 107137727761 in words is "one hundred seven billion, one hundred thirty-seven million, seven hundred twenty-seven thousand, seven hundred sixty-one".