101325735 has 80 divisors (see below), whose sum is σ = 210203136. Its totient is φ = 45738432.

The previous prime is 101325677. The next prime is 101325737. The reversal of 101325735 is 537523101.

It is not a de Polignac number, because 101325735 - 2⁷ = 101325607 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 101325699 and 101325708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101325737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 291832 + ... + 292178.

Almost surely, 2^101325735 is an apocalyptic number.

101325735 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

101325735 is an abundant number, since it is smaller than the sum of its proper divisors (108877401).

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

101325735 is a wasteful number, since it uses less digits than its factorization.

101325735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 101325735 is about 10066.0684976807. The cubic root of 101325735 is about 466.2010574257.

Adding to 101325735 its reverse (537523101), we get a palindrome (638848836).

The spelling of 101325735 in words is "one hundred one million, three hundred twenty-five thousand, seven hundred thirty-five".