101683400 has 192 divisors, whose sum is σ = 300814080. Its totient is φ = 31104000.

The previous prime is 101683399. The next prime is 101683423. The reversal of 101683400 is 4386101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 673325 + ... + 673475.

It is an arithmetic number, because the mean of its divisors is an integer number (1566740).

Almost surely, 2^101683400 is an apocalyptic number.

101683400 is a gapful number since it is divisible by the number (10) 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 101683400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150407040).

101683400 is an abundant number, since it is smaller than the sum of its proper divisors (199130680).

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

101683400 is a wasteful number, since it uses less digits than its factorization.

101683400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 101683400 is about 10083.8187210997. The cubic root of 101683400 is about 466.7489537435.

The spelling of 101683400 in words is "one hundred one million, six hundred eighty-three thousand, four hundred".