102628116144 has 180 divisors, whose sum is σ = 295601215728. Its totient is φ = 33238103040.

The previous prime is 102628116139. The next prime is 102628116163. The reversal of 102628116144 is 441611826201.

102628116144 is a `hidden beast` number, since 1 + 0 + 2 + 6 + 28 + 11 + 614 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 102628116099 and 102628116108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 70924029 + ... + 70925475.

Almost surely, 2^102628116144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102628116144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147800607864).

102628116144 is an abundant number, since it is smaller than the sum of its proper divisors (192973099584).

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

102628116144 is a wasteful number, since it uses less digits than its factorization.

102628116144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1836 (or 1786 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 102628116144 in words is "one hundred two billion, six hundred twenty-eight million, one hundred sixteen thousand, one hundred forty-four".