101139753 has 32 divisors (see below), whose sum is σ = 159086592. Its totient is φ = 56347200.

The previous prime is 101139751. The next prime is 101139757. The reversal of 101139753 is 357931101.

It is a happy number.

101139753 is a nontrivial binomial coefficient, being equal to C(14223, 2).

It is not a de Polignac number, because 101139753 - 2¹ = 101139751 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 101139753.

It is not an unprimeable number, because it can be changed into a prime (101139751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 184626 + ... + 185172.

It is an arithmetic number, because the mean of its divisors is an integer number (4971456).

Almost surely, 2^101139753 is an apocalyptic number.

101139753 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

101139753 is the 14222-nd triangular number.

It is an amenable number.

101139753 is a deficient number, since it is larger than the sum of its proper divisors (57946839).

101139753 is a wasteful number, since it uses less digits than its factorization.

101139753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005.

The product of its (nonzero) digits is 2835, while the sum is 30.

The square root of 101139753 is about 10056.8261892110. The cubic root of 101139753 is about 465.9156475120.

The spelling of 101139753 in words is "one hundred one million, one hundred thirty-nine thousand, seven hundred fifty-three".