105034347685152 has 120 divisors (see below), whose sum is σ = 308906612506800. Its totient is φ = 35011050996096.

The previous prime is 105034347685123. The next prime is 105034347685153. The reversal of 105034347685152 is 251586743430501.

It is a happy number.

105034347685152 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 3 + 43 + 476 + 85 + 1 + 52 = 666.

It is a super-2 number, since 2×105034347685152² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (105034347685153) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 306355999 + ... + 306698657.

It is an arithmetic number, because the mean of its divisors is an integer number (2574221770890).

Almost surely, 2^{105034347685152} is an apocalyptic number.

105034347685152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105034347685152 is an abundant number, since it is smaller than the sum of its proper divisors (203872264821648).

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

105034347685152 is a wasteful number, since it uses less digits than its factorization.

105034347685152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460940 (or 460923 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 105034347685152 in words is "one hundred five trillion, thirty-four billion, three hundred forty-seven million, six hundred eighty-five thousand, one hundred fifty-two".