101246400 has 252 divisors, whose sum is σ = 368503200. Its totient is φ = 26357760.

The previous prime is 101246399. The next prime is 101246417. The reversal of 101246400 is 4642101.

101246400 is a `hidden beast` number, since 1 + 0 + 1 + 24 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1137556 + ... + 1137644.

Almost surely, 2^101246400 is an apocalyptic number.

101246400 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 101246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184251600).

101246400 is an abundant number, since it is smaller than the sum of its proper divisors (267256800).

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

101246400 is a wasteful number, since it uses less digits than its factorization.

101246400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 101246400 is about 10062.1270117207. The cubic root of 101246400 is about 466.0793518587.

Adding to 101246400 its reverse (4642101), we get a palindrome (105888501).

The spelling of 101246400 in words is "one hundred one million, two hundred forty-six thousand, four hundred".