103392541953792 has 2592 divisors, whose sum is σ = 423378007363584. Its totient is φ = 24831442944000.

The previous prime is 103392541953787. The next prime is 103392541953829. The reversal of 103392541953792 is 297359145293301.

103392541953792 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 9 + 2 + 5 + 4 + 1 + 9 + 537 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 20883160917 + ... + 20883165867.

Almost surely, 2^{103392541953792} is an apocalyptic number.

103392541953792 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 103392541953792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211689003681792).

103392541953792 is an abundant number, since it is smaller than the sum of its proper divisors (319985465409792).

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

103392541953792 is a wasteful number, since it uses less digits than its factorization.

103392541953792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5057 (or 5024 counting only the distinct ones).

The product of its (nonzero) digits is 55112400, while the sum is 63.

The spelling of 103392541953792 in words is "one hundred three trillion, three hundred ninety-two billion, five hundred forty-one million, nine hundred fifty-three thousand, seven hundred ninety-two".