101740594080 has 192 divisors, whose sum is σ = 325357240320. Its totient is φ = 26721321984.

The previous prime is 101740594037. The next prime is 101740594129. The reversal of 101740594080 is 80495047101.

It is a super-2 number, since 2×101740594080² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8467437 + ... + 8479443.

It is an arithmetic number, because the mean of its divisors is an integer number (1694568960).

Almost surely, 2^101740594080 is an apocalyptic number.

101740594080 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 101740594080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162678620160).

101740594080 is an abundant number, since it is smaller than the sum of its proper divisors (223616646240).

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

101740594080 is a wasteful number, since it uses less digits than its factorization.

101740594080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12291 (or 12283 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The spelling of 101740594080 in words is "one hundred one billion, seven hundred forty million, five hundred ninety-four thousand, eighty".