105100505137152 has 1920 divisors, whose sum is σ = 381896837038080. Its totient is φ = 27931610972160.

The previous prime is 105100505137109. The next prime is 105100505137163. The reversal of 105100505137152 is 251731505001501.

105100505137152 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 0 + 0 + 505 + 137 + 15 + 2 = 666.

It is a super-2 number, since 2×105100505137152² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 451075129228 + ... + 451075129460.

It is an arithmetic number, because the mean of its divisors is an integer number (198904602624).

Almost surely, 2^{105100505137152} is an apocalyptic number.

105100505137152 is a gapful number since it is divisible by the number (12) 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 105100505137152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190948418519040).

105100505137152 is an abundant number, since it is smaller than the sum of its proper divisors (276796331900928).

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

105100505137152 is a wasteful number, since it uses less digits than its factorization.

105100505137152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 26250, while the sum is 36.

The spelling of 105100505137152 in words is "one hundred five trillion, one hundred billion, five hundred five million, one hundred thirty-seven thousand, one hundred fifty-two".