103623497856 has 256 divisors, whose sum is σ = 330142176000. Its totient is φ = 31899377664.

The previous prime is 103623497771. The next prime is 103623497881. The reversal of 103623497856 is 658794326301.

103623497856 is a `hidden beast` number, since 1 + 0 + 3 + 623 + 4 + 9 + 7 + 8 + 5 + 6 = 666.

It is a super-3 number, since 3×103623497856³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 2282676 + ... + 2327628.

It is an arithmetic number, because the mean of its divisors is an integer number (1289617875).

It is a 1-persistent number, because it is pandigital, but 2⋅103623497856 = 207246995712 is not.

Almost surely, 2^103623497856 is an apocalyptic number.

103623497856 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 103623497856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165071088000).

103623497856 is an abundant number, since it is smaller than the sum of its proper divisors (226518678144).

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

103623497856 is a wasteful number, since it uses less digits than its factorization.

103623497856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45028 (or 45010 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 103623497856 in words is "one hundred three billion, six hundred twenty-three million, four hundred ninety-seven thousand, eight hundred fifty-six".