106115615070480 has 120 divisors (see below), whose sum is σ = 356378058248472. Its totient is φ = 28296985116672.

The previous prime is 106115615070473. The next prime is 106115615070511. The reversal of 106115615070480 is 84070516511601.

106115615070480 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 1 + 5 + 61 + 507 + 0 + 4 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 68501975134464 + 37613639936016 = 8276592^2 + 6132996^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×106115615070480² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39328912 + ... + 41940368.

Almost surely, 2^{106115615070480} is an apocalyptic number.

106115615070480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106115615070480 is an abundant number, since it is smaller than the sum of its proper divisors (250262443177992).

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

106115615070480 is a wasteful number, since it uses less digits than its factorization.

106115615070480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2667913 (or 2667904 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 106115615070480 in words is "one hundred six trillion, one hundred fifteen billion, six hundred fifteen million, seventy thousand, four hundred eighty".