106155511443072 has 1536 divisors, whose sum is σ = 400214224650240. Its totient is φ = 26243813376000.

The previous prime is 106155511443071. The next prime is 106155511443073. The reversal of 106155511443072 is 270344115551601.

106155511443072 is a `hidden beast` number, since 1 + 0 + 6 + 15 + 551 + 14 + 4 + 3 + 0 + 72 = 666.

106155511443072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (106155511443071) and next prime (106155511443073).

It is a super-2 number, since 2×106155511443072² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106155511443071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 45153342697 + ... + 45153345047.

It is an arithmetic number, because the mean of its divisors is an integer number (260556135840).

Almost surely, 2^{106155511443072} is an apocalyptic number.

106155511443072 is a gapful number since it is divisible by the number (12) 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 106155511443072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200107112325120).

106155511443072 is an abundant number, since it is smaller than the sum of its proper divisors (294058713207168).

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

106155511443072 is a wasteful number, since it uses less digits than its factorization.

106155511443072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2782 (or 2767 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

Adding to 106155511443072 its reverse (270344115551601), we get a palindrome (376499626994673).

The spelling of 106155511443072 in words is "one hundred six trillion, one hundred fifty-five billion, five hundred eleven million, four hundred forty-three thousand, seventy-two".