101544150400 has 576 divisors, whose sum is σ = 321760946160. Its totient is φ = 31309824000.

The previous prime is 101544150397. The next prime is 101544150401. The reversal of 101544150400 is 4051445101.

It is a super-2 number, since 2×101544150400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101544150401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 194902140 + ... + 194902660.

Almost surely, 2^101544150400 is an apocalyptic number.

101544150400 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 101544150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160880473080).

101544150400 is an abundant number, since it is smaller than the sum of its proper divisors (220216795760).

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

101544150400 is a wasteful number, since it uses less digits than its factorization.

101544150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

Adding to 101544150400 its reverse (4051445101), we get a palindrome (105595595501).

The spelling of 101544150400 in words is "one hundred one billion, five hundred forty-four million, one hundred fifty thousand, four hundred".