103563263640 has 128 divisors (see below), whose sum is σ = 322393374720. Its totient is φ = 26585894400.

The previous prime is 103563263621. The next prime is 103563263693. The reversal of 103563263640 is 46362365301.

It is a super-3 number, since 3×103563263640³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

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, 637642 + ... + 783398.

It is an arithmetic number, because the mean of its divisors is an integer number (2518698240).

Almost surely, 2^103563263640 is an apocalyptic number.

103563263640 is a gapful number since it is divisible by the number (10) 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 103563263640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161196687360).

103563263640 is an abundant number, since it is smaller than the sum of its proper divisors (218830111080).

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

103563263640 is a wasteful number, since it uses less digits than its factorization.

103563263640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145993 (or 145989 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 39.

The spelling of 103563263640 in words is "one hundred three billion, five hundred sixty-three million, two hundred sixty-three thousand, six hundred forty".