102106457433 has 12 divisors (see below), whose sum is σ = 148563655188. Its totient is φ = 67574102400.

The previous prime is 102106457423. The next prime is 102106457443. The reversal of 102106457433 is 334754601201.

102106457433 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 0 + 645 + 7 + 4 + 3 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (102106457423) and next prime (102106457443).

It can be written as a sum of positive squares in 2 ways, for example, as 89154196569 + 12952260864 = 298587^2 + 113808^2 .

It is not a de Polignac number, because 102106457433 - 2⁸ = 102106457177 is a prime.

It is a super-4 number, since 4×102106457433⁴ (a number of 45 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (102106457423) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41404468 + ... + 41406933.

It is an arithmetic number, because the mean of its divisors is an integer number (12380304599).

Almost surely, 2^102106457433 is an apocalyptic number.

It is an amenable number.

102106457433 is a deficient number, since it is larger than the sum of its proper divisors (46457197755).

102106457433 is a wasteful number, since it uses less digits than its factorization.

102106457433 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82811544 (or 82811541 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 102106457433 in words is "one hundred two billion, one hundred six million, four hundred fifty-seven thousand, four hundred thirty-three".