103607985422592 has 216 divisors, whose sum is σ = 341615234653056. Its totient is φ = 29583853314048.

The previous prime is 103607985422567. The next prime is 103607985422597. The reversal of 103607985422592 is 295224589706301.

103607985422592 is a `hidden beast` number, since 1 + 0 + 3 + 60 + 7 + 9 + 8 + 542 + 25 + 9 + 2 = 666.

It is a super-3 number, since 3×103607985422592³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is not an unprimeable number, because it can be changed into a prime (103607985422597) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23918908 + ... + 27916484.

It is a 1-persistent number, because it is pandigital, but 2⋅103607985422592 = 207215970845184 is not.

Almost surely, 2^{103607985422592} is an apocalyptic number.

103607985422592 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 103607985422592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170807617326528).

103607985422592 is an abundant number, since it is smaller than the sum of its proper divisors (238007249230464).

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

103607985422592 is a wasteful number, since it uses less digits than its factorization.

103607985422592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3999213 (or 3999196 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 103607985422592 in words is "one hundred three trillion, six hundred seven billion, nine hundred eighty-five million, four hundred twenty-two thousand, five hundred ninety-two".