101348438400 has 864 divisors, whose sum is σ = 402378412800. Its totient is φ = 24269414400.

The previous prime is 101348438393. The next prime is 101348438461. The reversal of 101348438400 is 4834843101.

101348438400 is a `hidden beast` number, since 10 + 134 + 84 + 38 + 400 = 666.

It is a super-2 number, since 2×101348438400² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 442569486 + ... + 442569714.

Almost surely, 2^101348438400 is an apocalyptic number.

101348438400 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 101348438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201189206400).

101348438400 is an abundant number, since it is smaller than the sum of its proper divisors (301029974400).

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

101348438400 is a wasteful number, since it uses less digits than its factorization.

101348438400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 101348438400 in words is "one hundred one billion, three hundred forty-eight million, four hundred thirty-eight thousand, four hundred".