101154530400 has 288 divisors, whose sum is σ = 410504226048. Its totient is φ = 21019084800.

The previous prime is 101154530371. The next prime is 101154530419. The reversal of 101154530400 is 4035451101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 47 ways as a sum of consecutive naturals, for example, 88887 + ... + 458486.

It is an arithmetic number, because the mean of its divisors is an integer number (1425361896).

Almost surely, 2^101154530400 is an apocalyptic number.

101154530400 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 101154530400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205252113024).

101154530400 is an abundant number, since it is smaller than the sum of its proper divisors (309349695648).

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

101154530400 is a wasteful number, since it uses less digits than its factorization.

101154530400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547414 (or 547401 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 101154530400 its reverse (4035451101), we get a palindrome (105189981501).

The spelling of 101154530400 in words is "one hundred one billion, one hundred fifty-four million, five hundred thirty thousand, four hundred".