105532034400 has 432 divisors, whose sum is σ = 421857530640. Its totient is φ = 24609484800.

The previous prime is 105532034369. The next prime is 105532034431. The reversal of 105532034400 is 4430235501.

105532034400 is a `hidden beast` number, since 1 + 0 + 5 + 53 + 203 + 4 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (105532034369) and next prime (105532034431).

It is a super-2 number, since 2×105532034400² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1748730 + ... + 1808070.

Almost surely, 2^105532034400 is an apocalyptic number.

105532034400 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 105532034400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210928765320).

105532034400 is an abundant number, since it is smaller than the sum of its proper divisors (316325496240).

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

105532034400 is a wasteful number, since it uses less digits than its factorization.

105532034400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59399 (or 59383 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 105532034400 its reverse (4430235501), we get a palindrome (109962269901).

The spelling of 105532034400 in words is "one hundred five billion, five hundred thirty-two million, thirty-four thousand, four hundred".