101104337889792 has 240 divisors, whose sum is σ = 307237655799360. Its totient is φ = 31918734360576.

The previous prime is 101104337889757. The next prime is 101104337889911. The reversal of 101104337889792 is 297988733401101.

101104337889792 is a `hidden beast` number, since 1 + 0 + 110 + 4 + 3 + 378 + 89 + 79 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 315639988 + ... + 315960140.

It is an arithmetic number, because the mean of its divisors is an integer number (1280156899164).

Almost surely, 2^{101104337889792} is an apocalyptic number.

101104337889792 is a gapful number since it is divisible by the number (12) 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 101104337889792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153618827899680).

101104337889792 is an abundant number, since it is smaller than the sum of its proper divisors (206133317909568).

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

101104337889792 is a wasteful number, since it uses less digits than its factorization.

101104337889792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323803 (or 323784 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 63.

The spelling of 101104337889792 in words is "one hundred one trillion, one hundred four billion, three hundred thirty-seven million, eight hundred eighty-nine thousand, seven hundred ninety-two".