101404033600 has 189 divisors, whose sum is σ = 263970972057. Its totient is φ = 38335080960.

The previous prime is 101404033583. The next prime is 101404033637. The reversal of 101404033600 is 6330404101.

The square root of 101404033600 is 318440.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 36505452096 + 64898581504 = 191064^2 + 254752^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 242014191 + ... + 242014609.

Almost surely, 2^101404033600 is an apocalyptic number.

101404033600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101404033600 is the 318440-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101404033600

101404033600 is an abundant number, since it is smaller than the sum of its proper divisors (162566938457).

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

101404033600 is an frugal number, since it uses more digits than its factorization.

101404033600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 101404033600 its reverse (6330404101), we get a palindrome (107734437701).

The spelling of 101404033600 in words is "one hundred one billion, four hundred four million, thirty-three thousand, six hundred".