103133957301648 has 240 divisors, whose sum is σ = 355273019710336. Its totient is φ = 27197573990400.

The previous prime is 103133957301631. The next prime is 103133957301673. The reversal of 103133957301648 is 846103759331301.

It is a happy number.

103133957301648 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 3 + 3 + 9 + 573 + 0 + 1 + 64 + 8 = 666.

It is a super-2 number, since 2×103133957301648² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103133957301594 and 103133957301603.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 139201236 + ... + 139940172.

Almost surely, 2^{103133957301648} is an apocalyptic number.

103133957301648 is a gapful number since it is divisible by the number (18) 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 103133957301648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177636509855168).

103133957301648 is an abundant number, since it is smaller than the sum of its proper divisors (252139062408688).

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

103133957301648 is a wasteful number, since it uses less digits than its factorization.

103133957301648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749622 (or 749613 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 103133957301648 in words is "one hundred three trillion, one hundred thirty-three billion, nine hundred fifty-seven million, three hundred one thousand, six hundred forty-eight".