102842133735 has 64 divisors (see below), whose sum is σ = 189239721984. Its totient is φ = 47227574400.

The previous prime is 102842133731. The next prime is 102842133761. The reversal of 102842133735 is 537331248201.

It is not a de Polignac number, because 102842133735 - 2² = 102842133731 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102842133693 and 102842133702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102842133731) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26512 + ... + 454298.

It is an arithmetic number, because the mean of its divisors is an integer number (2956870656).

Almost surely, 2^102842133735 is an apocalyptic number.

102842133735 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

102842133735 is a deficient number, since it is larger than the sum of its proper divisors (86397588249).

102842133735 is a wasteful number, since it uses less digits than its factorization.

102842133735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427884.

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 102842133735 in words is "one hundred two billion, eight hundred forty-two million, one hundred thirty-three thousand, seven hundred thirty-five".