101895951345 has 16 divisors (see below), whose sum is σ = 163037529600. Its totient is φ = 54343171584.

The previous prime is 101895951331. The next prime is 101895951383. The reversal of 101895951345 is 543159598101.

It is a happy number.

It is not a de Polignac number, because 101895951345 - 2⁷ = 101895951217 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1004256 + ... + 1101054.

It is an arithmetic number, because the mean of its divisors is an integer number (10189845600).

Almost surely, 2^101895951345 is an apocalyptic number.

101895951345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101895951345 is a deficient number, since it is larger than the sum of its proper divisors (61141578255).

101895951345 is an equidigital number, since it uses as much as digits as its factorization.

101895951345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166984.

The product of its (nonzero) digits is 972000, while the sum is 51.

The spelling of 101895951345 in words is "one hundred one billion, eight hundred ninety-five million, nine hundred fifty-one thousand, three hundred forty-five".