100095349640 has 256 divisors, whose sum is σ = 274294944000. Its totient is φ = 32382996480.

The previous prime is 100095349577. The next prime is 100095349663. The reversal of 100095349640 is 46943590001.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23066591 + ... + 23070929.

It is an arithmetic number, because the mean of its divisors is an integer number (1071464625).

Almost surely, 2^100095349640 is an apocalyptic number.

100095349640 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 100095349640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137147472000).

100095349640 is an abundant number, since it is smaller than the sum of its proper divisors (174199594360).

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

100095349640 is a wasteful number, since it uses less digits than its factorization.

100095349640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4520 (or 4516 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 41.

The spelling of 100095349640 in words is "one hundred billion, ninety-five million, three hundred forty-nine thousand, six hundred forty".