105011555400 has 288 divisors, whose sum is σ = 371270165760. Its totient is φ = 26547333120.

The previous prime is 105011555387. The next prime is 105011555419. The reversal of 105011555400 is 4555110501.

105011555400 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 115 + 5 + 540 + 0 = 666.

It is a super-2 number, since 2×105011555400² (a number of 23 digits) contains 22 as substring.

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, 4666977 + ... + 4689423.

It is an arithmetic number, because the mean of its divisors is an integer number (1289132520).

Almost surely, 2^105011555400 is an apocalyptic number.

105011555400 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 105011555400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185635082880).

105011555400 is an abundant number, since it is smaller than the sum of its proper divisors (266258610360).

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

105011555400 is a wasteful number, since it uses less digits than its factorization.

105011555400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22605 (or 22593 counting only the distinct ones).

The product of its (nonzero) digits is 2500, while the sum is 27.

Adding to 105011555400 its reverse (4555110501), we get a palindrome (109566665901).

The spelling of 105011555400 in words is "one hundred five billion, eleven million, five hundred fifty-five thousand, four hundred".