102264729644 has 144 divisors (see below), whose sum is σ = 243433768704. Its totient is φ = 36484992000.

The previous prime is 102264729631. The next prime is 102264729647. The reversal of 102264729644 is 446927462201.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (102264729647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3277919 + ... + 3308969.

Almost surely, 2^102264729644 is an apocalyptic number.

102264729644 is a gapful number since it is divisible by the number (14) 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 102264729644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121716884352).

102264729644 is an abundant number, since it is smaller than the sum of its proper divisors (141169039060).

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

102264729644 is a wasteful number, since it uses less digits than its factorization.

102264729644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31144 (or 31125 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 47.

The spelling of 102264729644 in words is "one hundred two billion, two hundred sixty-four million, seven hundred twenty-nine thousand, six hundred forty-four".