102156306742542 has 32 divisors (see below), whose sum is σ = 220035983836032. Its totient is φ = 31431707557344.

The previous prime is 102156306742541. The next prime is 102156306742559. The reversal of 102156306742542 is 245247603651201.

It is a happy number.

It is a super-2 number, since 2×102156306742542² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102156306742491 and 102156306742500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102156306742541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18415488 + ... + 23311859.

It is an arithmetic number, because the mean of its divisors is an integer number (6876124494876).

Almost surely, 2^{102156306742542} is an apocalyptic number.

102156306742542 is an abundant number, since it is smaller than the sum of its proper divisors (117879677093490).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102156306742542 is a wasteful number, since it uses less digits than its factorization.

102156306742542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41758752.

The product of its (nonzero) digits is 2419200, while the sum is 48.

The spelling of 102156306742542 in words is "one hundred two trillion, one hundred fifty-six billion, three hundred six million, seven hundred forty-two thousand, five hundred forty-two".