106950590514 has 64 divisors (see below), whose sum is σ = 239016960000. Its totient is φ = 35448423120.

The previous prime is 106950590501. The next prime is 106950590521. The reversal of 106950590514 is 415095059601.

It is a happy number.

106950590514 is a `hidden beast` number, since 1 + 0 + 6 + 9 + 5 + 0 + 590 + 51 + 4 = 666.

It is a super-2 number, since 2×106950590514² (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 106950590514.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7029087 + ... + 7044285.

It is an arithmetic number, because the mean of its divisors is an integer number (3734640000).

Almost surely, 2^106950590514 is an apocalyptic number.

106950590514 is an abundant number, since it is smaller than the sum of its proper divisors (132066369486).

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

106950590514 is a wasteful number, since it uses less digits than its factorization.

106950590514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15940 (or 15934 counting only the distinct ones).

The product of its (nonzero) digits is 243000, while the sum is 45.

The spelling of 106950590514 in words is "one hundred six billion, nine hundred fifty million, five hundred ninety thousand, five hundred fourteen".