105155022400 has 84 divisors (see below), whose sum is σ = 259363339540. Its totient is φ = 41961830400.

The previous prime is 105155022319. The next prime is 105155022443. The reversal of 105155022400 is 4220551501.

It can be written as a sum of positive squares in 6 ways, for example, as 16155426816 + 88999595584 = 127104^2 + 298328^2 .

It is a super-2 number, since 2×105155022400² (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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 595546 + ... + 751654.

Almost surely, 2^105155022400 is an apocalyptic number.

105155022400 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 105155022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129681669770).

105155022400 is an abundant number, since it is smaller than the sum of its proper divisors (154208317140).

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

105155022400 is a wasteful number, since it uses less digits than its factorization.

105155022400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156552 (or 156537 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

Adding to 105155022400 its reverse (4220551501), we get a palindrome (109375573901).

The spelling of 105155022400 in words is "one hundred five billion, one hundred fifty-five million, twenty-two thousand, four hundred".