102141346944 has 512 divisors, whose sum is σ = 350989148160. Its totient is φ = 25579192320.

The previous prime is 102141346939. The next prime is 102141347023. The reversal of 102141346944 is 449643141201.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 134219524 + ... + 134220284.

It is an arithmetic number, because the mean of its divisors is an integer number (685525680).

Almost surely, 2^102141346944 is an apocalyptic number.

102141346944 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 102141346944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175494574080).

102141346944 is an abundant number, since it is smaller than the sum of its proper divisors (248847801216).

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

102141346944 is a wasteful number, since it uses less digits than its factorization.

102141346944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 102141346944 in words is "one hundred two billion, one hundred forty-one million, three hundred forty-six thousand, nine hundred forty-four".