103529839968 has 72 divisors (see below), whose sum is σ = 301593821256. Its totient is φ = 33668236800.

The previous prime is 103529839939. The next prime is 103529839997. The reversal of 103529839968 is 869938925301.

103529839968 is a `hidden beast` number, since 10 + 3 + 529 + 8 + 3 + 9 + 96 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (103529839939) and next prime (103529839997).

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

It is a super-3 number, since 3×103529839968³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

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, 4372078 + ... + 4395693.

It is an arithmetic number, because the mean of its divisors is an integer number (4188803073).

Almost surely, 2^103529839968 is an apocalyptic number.

103529839968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

103529839968 is an abundant number, since it is smaller than the sum of its proper divisors (198063981288).

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

103529839968 is a wasteful number, since it uses less digits than its factorization.

103529839968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8767828 (or 8767817 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 63.

The spelling of 103529839968 in words is "one hundred three billion, five hundred twenty-nine million, eight hundred thirty-nine thousand, nine hundred sixty-eight".