106616514152 has 128 divisors (see below), whose sum is σ = 222477373440. Its totient is φ = 47673584640.

The previous prime is 106616514149. The next prime is 106616514161. The reversal of 106616514152 is 251415616601.

It is a super-2 number, since 2×106616514152² (a number of 23 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 165810743 + ... + 165811385.

It is an arithmetic number, because the mean of its divisors is an integer number (1738104480).

Almost surely, 2^106616514152 is an apocalyptic number.

It is an amenable number.

106616514152 is an abundant number, since it is smaller than the sum of its proper divisors (115860859288).

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

106616514152 is a wasteful number, since it uses less digits than its factorization.

106616514152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1351 (or 1347 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 38.

The spelling of 106616514152 in words is "one hundred six billion, six hundred sixteen million, five hundred fourteen thousand, one hundred fifty-two".