106617429828 has 72 divisors (see below), whose sum is σ = 331698680768. Its totient is φ = 28118881728.

The previous prime is 106617429803. The next prime is 106617429833. The reversal of 106617429828 is 828924716601.

It is a happy number.

106617429828 is a `hidden beast` number, since 10 + 6 + 617 + 4 + 2 + 9 + 8 + 2 + 8 = 666.

It is a super-2 number, since 2×106617429828² (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 23 ways as a sum of consecutive naturals, for example, 16269226 + ... + 16275777.

Almost surely, 2^106617429828 is an apocalyptic number.

106617429828 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

106617429828 is an abundant number, since it is smaller than the sum of its proper divisors (225081250940).

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

106617429828 is a wasteful number, since it uses less digits than its factorization.

106617429828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32545033 (or 32545028 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 106617429828 in words is "one hundred six billion, six hundred seventeen million, four hundred twenty-nine thousand, eight hundred twenty-eight".