106029922464 has 72 divisors (see below), whose sum is σ = 301617781920. Its totient is φ = 35332149888.

The previous prime is 106029922457. The next prime is 106029922487. The reversal of 106029922464 is 464229920601.

106029922464 is a `hidden beast` number, since 10 + 602 + 9 + 9 + 2 + 24 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×106029922464² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 882109 + ... + 995075.

It is an arithmetic number, because the mean of its divisors is an integer number (4189135860).

Almost surely, 2^106029922464 is an apocalyptic number.

It is an amenable number.

106029922464 is an abundant number, since it is smaller than the sum of its proper divisors (195587859456).

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

106029922464 is a wasteful number, since it uses less digits than its factorization.

106029922464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116242 (or 116231 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 106029922464 in words is "one hundred six billion, twenty-nine million, nine hundred twenty-two thousand, four hundred sixty-four".