105136770202752 has 64 divisors (see below), whose sum is σ = 279270656350560. Its totient is φ = 35045450711040.

The previous prime is 105136770202721. The next prime is 105136770202759. The reversal of 105136770202752 is 257202077631501.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×105136770202752² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (105136770202759) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 151041303 + ... + 151735785.

Almost surely, 2^{105136770202752} is an apocalyptic number.

105136770202752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105136770202752 is an abundant number, since it is smaller than the sum of its proper divisors (174133886147808).

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

105136770202752 is an equidigital number, since it uses as much as digits as its factorization.

105136770202752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088741 (or 1088729 counting only the distinct ones).

The product of its (nonzero) digits is 1234800, while the sum is 48.

The spelling of 105136770202752 in words is "one hundred five trillion, one hundred thirty-six billion, seven hundred seventy million, two hundred two thousand, seven hundred fifty-two".