106420346660880 has 480 divisors, whose sum is σ = 411873943523328. Its totient is φ = 24121103385600.

The previous prime is 106420346660879. The next prime is 106420346660909. The reversal of 106420346660880 is 88066643024601.

It is a super-2 number, since 2×106420346660880² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 902489125 + ... + 902607035.

Almost surely, 2^{106420346660880} is an apocalyptic number.

106420346660880 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 106420346660880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205936971761664).

106420346660880 is an abundant number, since it is smaller than the sum of its proper divisors (305453596862448).

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

106420346660880 is a wasteful number, since it uses less digits than its factorization.

106420346660880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119435 (or 119426 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 106420346660880 in words is "one hundred six trillion, four hundred twenty billion, three hundred forty-six million, six hundred sixty thousand, eight hundred eighty".