106193690514 has 48 divisors (see below), whose sum is σ = 246765916800. Its totient is φ = 32902111008.

The previous prime is 106193690501. The next prime is 106193690521. The reversal of 106193690514 is 415096391601.

106193690514 is a `hidden beast` number, since 1 + 0 + 6 + 19 + 36 + 90 + 514 = 666.

It is a super-2 number, since 2×106193690514² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106193690514.

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, 2911194 + ... + 2947445.

It is an arithmetic number, because the mean of its divisors is an integer number (5140956600).

Almost surely, 2^106193690514 is an apocalyptic number.

106193690514 is an abundant number, since it is smaller than the sum of its proper divisors (140572226286).

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

106193690514 is a wasteful number, since it uses less digits than its factorization.

106193690514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5858719 (or 5858716 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 106193690514 in words is "one hundred six billion, one hundred ninety-three million, six hundred ninety thousand, five hundred fourteen".