101153091348 has 36 divisors (see below), whose sum is σ = 270733275540. Its totient is φ = 31734302976.

The previous prime is 101153091323. The next prime is 101153091349. The reversal of 101153091348 is 843190351101.

It is a happy number.

101153091348 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 5 + 309 + 1 + 348 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 65447965584 + 35705125764 = 255828^2 + 188958^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101153091349) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 82640803 + ... + 82642026.

It is an arithmetic number, because the mean of its divisors is an integer number (7520368765).

Almost surely, 2^101153091348 is an apocalyptic number.

101153091348 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

101153091348 is an abundant number, since it is smaller than the sum of its proper divisors (169580184192).

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

101153091348 is a wasteful number, since it uses less digits than its factorization.

101153091348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165282856 (or 165282851 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 101153091348 in words is "one hundred one billion, one hundred fifty-three million, ninety-one thousand, three hundred forty-eight".