103597537680 has 320 divisors, whose sum is σ = 439183557120. Its totient is φ = 21857900544.

The previous prime is 103597537619. The next prime is 103597537763. The reversal of 103597537680 is 86735795301.

103597537680 is a `hidden beast` number, since 10 + 3 + 5 + 97 + 537 + 6 + 8 + 0 = 666.

It is a super-3 number, since 3×103597537680³ (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 63 ways as a sum of consecutive naturals, for example, 66967 + ... + 460086.

It is an arithmetic number, because the mean of its divisors is an integer number (1372448616).

Almost surely, 2^103597537680 is an apocalyptic number.

103597537680 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 103597537680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219591778560).

103597537680 is an abundant number, since it is smaller than the sum of its proper divisors (335586019440).

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

103597537680 is a wasteful number, since it uses less digits than its factorization.

103597537680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527095 (or 527083 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 103597537680 in words is "one hundred three billion, five hundred ninety-seven million, five hundred thirty-seven thousand, six hundred eighty".