103562495080704 has 576 divisors, whose sum is σ = 338442306504960. Its totient is φ = 31361789952000.

The previous prime is 103562495080687. The next prime is 103562495080711. The reversal of 103562495080704 is 407080594265301.

It is a happy number.

103562495080704 is a `hidden beast` number, since 1 + 0 + 3 + 5 + 6 + 2 + 495 + 0 + 80 + 70 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-3 number, since 3×103562495080704³ (a number of 43 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, 11091619524 + ... + 11091628860.

It is a 1-persistent number, because it is pandigital, but 2⋅103562495080704 = 207124990161408 is not.

Almost surely, 2^{103562495080704} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103562495080704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169221153252480).

103562495080704 is an abundant number, since it is smaller than the sum of its proper divisors (234879811424256).

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

103562495080704 is an frugal number, since it uses more digits than its factorization.

103562495080704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11186 (or 11154 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 103562495080704 in words is "one hundred three trillion, five hundred sixty-two billion, four hundred ninety-five million, eighty thousand, seven hundred four".