103771473200640 has 3840 divisors, whose sum is σ = 479011672719360. Its totient is φ = 21127071006720.

The previous prime is 103771473200611. The next prime is 103771473200669. The reversal of 103771473200640 is 46002374177301.

It is a happy number.

103771473200640 is a `hidden beast` number, since 1 + 0 + 37 + 71 + 473 + 20 + 0 + 64 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (103771473200611) and next prime (103771473200669).

It is a tau number, because it is divible by the number of its divisors (3840).

It is a super-2 number, since 2×103771473200640² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 83889630102 + ... + 83889631338.

It is an arithmetic number, because the mean of its divisors is an integer number (124742623104).

Almost surely, 2^{103771473200640} is an apocalyptic number.

103771473200640 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 103771473200640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239505836359680).

103771473200640 is an abundant number, since it is smaller than the sum of its proper divisors (375240199518720).

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

103771473200640 is a wasteful number, since it uses less digits than its factorization.

103771473200640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378 (or 1349 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The spelling of 103771473200640 in words is "one hundred three trillion, seven hundred seventy-one billion, four hundred seventy-three million, two hundred thousand, six hundred forty".