101693856 has 192 divisors, whose sum is σ = 313528320. Its totient is φ = 28554240.

The previous prime is 101693849. The next prime is 101693861. The reversal of 101693856 is 658396101.

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, 1287225 + ... + 1287303.

It is an arithmetic number, because the mean of its divisors is an integer number (1632960).

Almost surely, 2^101693856 is an apocalyptic number.

101693856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101693856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156764160).

101693856 is an abundant number, since it is smaller than the sum of its proper divisors (211834464).

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

101693856 is a wasteful number, since it uses less digits than its factorization.

101693856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 101693856 is about 10084.3371621540. The cubic root of 101693856 is about 466.7649516343.

The spelling of 101693856 in words is "one hundred one million, six hundred ninety-three thousand, eight hundred fifty-six".