101894400 has 324 divisors, whose sum is σ = 383035380. Its totient is φ = 25804800.

The previous prime is 101894381. The next prime is 101894407. The reversal of 101894400 is 4498101.

It can be written as a sum of positive squares in 6 ways, for example, as 17842176 + 84052224 = 4224^2 + 9168^2 .

It is not an unprimeable number, because it can be changed into a prime (101894407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1670370 + ... + 1670430.

Almost surely, 2^101894400 is an apocalyptic number.

101894400 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 101894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191517690).

101894400 is an abundant number, since it is smaller than the sum of its proper divisors (281140980).

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

101894400 is a wasteful number, since it uses less digits than its factorization.

101894400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 101894400 is about 10094.2756055103. The cubic root of 101894400 is about 467.0715760112.

The spelling of 101894400 in words is "one hundred one million, eight hundred ninety-four thousand, four hundred".