103622132446560 has 1920 divisors, whose sum is σ = 491944146591744. Its totient is φ = 19913168977920.

The previous prime is 103622132446523. The next prime is 103622132446571. The reversal of 103622132446560 is 65644231226301.

103622132446560 is a `hidden beast` number, since 1 + 0 + 3 + 6 + 2 + 21 + 3 + 24 + 46 + 560 = 666.

It is a super-3 number, since 3×103622132446560³ (a number of 43 digits) contains 333 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 (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 621439359 + ... + 621606081.

Almost surely, 2^{103622132446560} is an apocalyptic number.

103622132446560 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 103622132446560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245972073295872).

103622132446560 is an abundant number, since it is smaller than the sum of its proper divisors (388322014145184).

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

103622132446560 is a wasteful number, since it uses less digits than its factorization.

103622132446560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166818 (or 166801 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 103622132446560 in words is "one hundred three trillion, six hundred twenty-two billion, one hundred thirty-two million, four hundred forty-six thousand, five hundred sixty".