102349443636 has 288 divisors, whose sum is σ = 309728240640. Its totient is φ = 28232294400.

The previous prime is 102349443601. The next prime is 102349443649. The reversal of 102349443636 is 636344943201.

102349443636 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 4 + 9 + 4 + 4 + 3 + 636 = 666.

It is a super-2 number, since 2×102349443636² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102349443591 and 102349443600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 60311140 + ... + 60312836.

It is an arithmetic number, because the mean of its divisors is an integer number (1075445280).

Almost surely, 2^102349443636 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 102349443636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154864120320).

102349443636 is an abundant number, since it is smaller than the sum of its proper divisors (207378797004).

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

102349443636 is a wasteful number, since it uses less digits than its factorization.

102349443636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1800 (or 1761 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 45.

The spelling of 102349443636 in words is "one hundred two billion, three hundred forty-nine million, four hundred forty-three thousand, six hundred thirty-six".