102629064132 has 144 divisors (see below), whose sum is σ = 306261609472. Its totient is φ = 28356894720.

The previous prime is 102629064121. The next prime is 102629064151. The reversal of 102629064132 is 231460926201.

It is a happy number.

102629064132 is a `hidden beast` number, since 1 + 0 + 2 + 6 + 2 + 9 + 0 + 641 + 3 + 2 = 666.

It is a super-3 number, since 3×102629064132³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13878228 + ... + 13885620.

Almost surely, 2^102629064132 is an apocalyptic number.

102629064132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102629064132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153130804736).

102629064132 is an abundant number, since it is smaller than the sum of its proper divisors (203632545340).

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

102629064132 is a wasteful number, since it uses less digits than its factorization.

102629064132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9218 (or 9213 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 102629064132 in words is "one hundred two billion, six hundred twenty-nine million, sixty-four thousand, one hundred thirty-two".