102659263434 has 640 divisors, whose sum is σ = 313260659712. Its totient is φ = 24365629440.

The previous prime is 102659263391. The next prime is 102659263477. The reversal of 102659263434 is 434362956201.

102659263434 is a `hidden beast` number, since 1 + 0 + 2 + 6 + 5 + 9 + 2 + 634 + 3 + 4 = 666.

102659263434 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (102659263391) and next prime (102659263477).

It is a super-2 number, since 2×102659263434² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102659263434.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 996691827 + ... + 996691929.

Almost surely, 2^102659263434 is an apocalyptic number.

102659263434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102659263434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156630329856).

102659263434 is an abundant number, since it is smaller than the sum of its proper divisors (210601396278).

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

102659263434 is a wasteful number, since it uses less digits than its factorization.

102659263434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

It can be divided in two parts, 1026592 and 63434, that added together give a triangular number (1090026 = T₁₄₇₆).

The spelling of 102659263434 in words is "one hundred two billion, six hundred fifty-nine million, two hundred sixty-three thousand, four hundred thirty-four".