102374761581 has 12 divisors (see below), whose sum is σ = 148012999420. Its totient is φ = 68185990080.

The previous prime is 102374761579. The next prime is 102374761649. The reversal of 102374761581 is 185167473201.

102374761581 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 7 + 4 + 7 + 61 + 581 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 42821680356 + 59553081225 = 206934^2 + 244035^2 .

It is not a de Polignac number, because 102374761581 - 2¹ = 102374761579 is a prime.

It is a super-2 number, since 2×102374761581² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102374768581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5310760 + ... + 5330001.

Almost surely, 2^102374761581 is an apocalyptic number.

It is an amenable number.

102374761581 is a deficient number, since it is larger than the sum of its proper divisors (45638237839).

102374761581 is a wasteful number, since it uses less digits than its factorization.

102374761581 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10641836 (or 10641833 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

It can be divided in two parts, 102374 and 761581, that added together give a triangular number (863955 = T₁₃₁₄).

The spelling of 102374761581 in words is "one hundred two billion, three hundred seventy-four million, seven hundred sixty-one thousand, five hundred eighty-one".