107629268761 has 9 divisors (see below), whose sum is σ = 125204065749. Its totient is φ = 92251690524.

The previous prime is 107629268759. The next prime is 107629268767. The reversal of 107629268761 is 167862926701.

The square root of 107629268761 is 328069.

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

It is not a de Polignac number, because 107629268761 - 2¹ = 107629268759 is a prime.

It is not an unprimeable number, because it can be changed into a prime (107629268767) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2273050 + ... + 2319916.

It is an arithmetic number, because the mean of its divisors is an integer number (13911562861).

Almost surely, 2^107629268761 is an apocalyptic number.

107629268761 is the 328069-th square number.

107629268761 is the 164035-th centered octagonal number.

It is an amenable number.

107629268761 is a deficient number, since it is larger than the sum of its proper divisors (17574796988).

107629268761 is an frugal number, since it uses more digits than its factorization.

107629268761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93748 (or 46874 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 55.

The spelling of 107629268761 in words is "one hundred seven billion, six hundred twenty-nine million, two hundred sixty-eight thousand, seven hundred sixty-one".