105540625153 has 2 divisors, whose sum is σ = 105540625154. Its totient is φ = 105540625152.

The previous prime is 105540624997. The next prime is 105540625171. The reversal of 105540625153 is 351526045501.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 57817164304 + 47723460849 = 240452^2 + 218457^2 .

It is an emirp because it is prime and its reverse (351526045501) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105540625153 is a prime.

It is a super-2 number, since 2×105540625153² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105540628153) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52770312576 + 52770312577.

It is an arithmetic number, because the mean of its divisors is an integer number (52770312577).

Almost surely, 2^105540625153 is an apocalyptic number.

It is an amenable number.

105540625153 is a deficient number, since it is larger than the sum of its proper divisors (1).

105540625153 is an equidigital number, since it uses as much as digits as its factorization.

105540625153 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 90000, while the sum is 37.

The spelling of 105540625153 in words is "one hundred five billion, five hundred forty million, six hundred twenty-five thousand, one hundred fifty-three".