101688048 has 200 divisors, whose sum is σ = 367297920. Its totient is φ = 26386560.

The previous prime is 101688017. The next prime is 101688049. The reversal of 101688048 is 840886101.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101688049) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 99283 + ... + 100301.

Almost surely, 2^101688048 is an apocalyptic number.

101688048 is a gapful number since it is divisible by the number (18) 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 101688048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183648960).

101688048 is an abundant number, since it is smaller than the sum of its proper divisors (265609872).

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

101688048 is a wasteful number, since it uses less digits than its factorization.

101688048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 101688048 is about 10084.0491867107. The cubic root of 101688048 is about 466.7560654126.

The spelling of 101688048 in words is "one hundred one million, six hundred eighty-eight thousand, forty-eight".