102446641040 has 80 divisors (see below), whose sum is σ = 241700155200. Its totient is φ = 40377125376.

The previous prime is 102446641039. The next prime is 102446641043. The reversal of 102446641040 is 40146644201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×102446641040² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102446640988 and 102446641006.

It is not an unprimeable number, because it can be changed into a prime (102446641043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2496206 + ... + 2536914.

It is an arithmetic number, because the mean of its divisors is an integer number (3021251940).

Almost surely, 2^102446641040 is an apocalyptic number.

102446641040 is a gapful number since it is divisible by the number (10) 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 102446641040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120850077600).

102446641040 is an abundant number, since it is smaller than the sum of its proper divisors (139253514160).

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

102446641040 is a wasteful number, since it uses less digits than its factorization.

102446641040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41184 (or 41178 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The spelling of 102446641040 in words is "one hundred two billion, four hundred forty-six million, six hundred forty-one thousand, forty".