101678400 has 252 divisors, whose sum is σ = 378329952. Its totient is φ = 25850880.

The previous prime is 101678393. The next prime is 101678413. The reversal of 101678400 is 4876101.

It is a happy number.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 331047 + ... + 331353.

Almost surely, 2^101678400 is an apocalyptic number.

101678400 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 101678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189164976).

101678400 is an abundant number, since it is smaller than the sum of its proper divisors (276651552).

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

101678400 is a wasteful number, since it uses less digits than its factorization.

101678400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 101678400 is about 10083.5707961019. The cubic root of 101678400 is about 466.7413032551.

The spelling of 101678400 in words is "one hundred one million, six hundred seventy-eight thousand, four hundred".