106060301220720 has 3840 divisors, whose sum is σ = 465275877580800. Its totient is φ = 19687906344960.

The previous prime is 106060301220667. The next prime is 106060301220803. The reversal of 106060301220720 is 27022103060601.

It is a super-2 number, since 2×106060301220720² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 455194425724 + ... + 455194425956.

It is an arithmetic number, because the mean of its divisors is an integer number (121165593120).

Almost surely, 2^{106060301220720} is an apocalyptic number.

106060301220720 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 106060301220720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232637938790400).

106060301220720 is an abundant number, since it is smaller than the sum of its proper divisors (359215576360080).

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

106060301220720 is a wasteful number, since it uses less digits than its factorization.

106060301220720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The spelling of 106060301220720 in words is "one hundred six trillion, sixty billion, three hundred one million, two hundred twenty thousand, seven hundred twenty".