103466420621340 has 192 divisors, whose sum is σ = 335163585576960. Its totient is φ = 23358818453760.

The previous prime is 103466420621321. The next prime is 103466420621359. The reversal of 103466420621340 is 43126024664301.

It is an interprime number because it is at equal distance from previous prime (103466420621321) and next prime (103466420621359).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 103466420621292 and 103466420621301.

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 63 ways as a sum of consecutive naturals, for example, 142948471 + ... + 143670449.

It is an arithmetic number, because the mean of its divisors is an integer number (1745643674880).

Almost surely, 2^{103466420621340} is an apocalyptic number.

103466420621340 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 103466420621340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167581792788480).

103466420621340 is an abundant number, since it is smaller than the sum of its proper divisors (231697164955620).

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

103466420621340 is a wasteful number, since it uses less digits than its factorization.

103466420621340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726192 (or 726190 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 42.

The spelling of 103466420621340 in words is "one hundred three trillion, four hundred sixty-six billion, four hundred twenty million, six hundred twenty-one thousand, three hundred forty".