101044434525400 has 96 divisors (see below), whose sum is σ = 248750718444000. Its totient is φ = 38039784273920.

The previous prime is 101044434525373. The next prime is 101044434525407. The reversal of 101044434525400 is 4525434440101.

It is a self number, because there is not a number n which added to its sum of digits gives 101044434525400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101044434525407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 401036661 + ... + 401288539.

It is an arithmetic number, because the mean of its divisors is an integer number (2591153317125).

Almost surely, 2^{101044434525400} is an apocalyptic number.

101044434525400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101044434525400 is an abundant number, since it is smaller than the sum of its proper divisors (147706283918600).

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

101044434525400 is a wasteful number, since it uses less digits than its factorization.

101044434525400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369901 (or 369892 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 37.

Adding to 101044434525400 its reverse (4525434440101), we get a palindrome (105569868965501).

The spelling of 101044434525400 in words is "one hundred one trillion, forty-four billion, four hundred thirty-four million, five hundred twenty-five thousand, four hundred".