105254316152100 has 216 divisors, whose sum is σ = 333226039746600. Its totient is φ = 27786101760000.

The previous prime is 105254316152047. The next prime is 105254316152101. The reversal of 105254316152100 is 1251613452501.

105254316152100 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 5 + 4 + 31 + 615 + 2 + 1 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 27087215793444 + 78167100358656 = 5204538^2 + 8841216^2 .

It is a super-2 number, since 2×105254316152100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (105254316152101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 695218410 + ... + 695369790.

It is an arithmetic number, because the mean of its divisors is an integer number (1542713146975).

Almost surely, 2^{105254316152100} is an apocalyptic number.

105254316152100 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 105254316152100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166613019873300).

105254316152100 is an abundant number, since it is smaller than the sum of its proper divisors (227971723594500).

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

105254316152100 is a wasteful number, since it uses less digits than its factorization.

105254316152100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159151 (or 159141 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 105254316152100 in words is "one hundred five trillion, two hundred fifty-four billion, three hundred sixteen million, one hundred fifty-two thousand, one hundred".