103924187136 has 840 divisors, whose sum is σ = 391952038464. Its totient is φ = 26754416640.

The previous prime is 103924187131. The next prime is 103924187243. The reversal of 103924187136 is 631781429301.

103924187136 is a `hidden beast` number, since 10 + 3 + 92 + 418 + 7 + 136 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 103924187091 and 103924187100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103924187131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 919683016 + ... + 919683128.

Almost surely, 2^103924187136 is an apocalyptic number.

103924187136 is a gapful number since it is divisible by the number (16) 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 103924187136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195976019232).

103924187136 is an abundant number, since it is smaller than the sum of its proper divisors (288027851328).

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

103924187136 is an frugal number, since it uses more digits than its factorization.

103924187136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 103924187136 in words is "one hundred three billion, nine hundred twenty-four million, one hundred eighty-seven thousand, one hundred thirty-six".