106235102393280 has 2016 divisors, whose sum is σ = 452140017638400. Its totient is φ = 22384258744320.

The previous prime is 106235102393227. The next prime is 106235102393347. The reversal of 106235102393280 is 82393201532601.

106235102393280 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 3 + 510 + 23 + 9 + 32 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×106235102393280² (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 polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 186704924836 + ... + 186704925404.

It is an arithmetic number, because the mean of its divisors is an integer number (224275802400).

Almost surely, 2^{106235102393280} is an apocalyptic number.

106235102393280 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 106235102393280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226070008819200).

106235102393280 is an abundant number, since it is smaller than the sum of its proper divisors (345904915245120).

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

106235102393280 is a wasteful number, since it uses less digits than its factorization.

106235102393280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 106235102393280 in words is "one hundred six trillion, two hundred thirty-five billion, one hundred two million, three hundred ninety-three thousand, two hundred eighty".