101745153 has 40 divisors (see below), whose sum is σ = 165362472. Its totient is φ = 62083584.

The previous prime is 101745113. The next prime is 101745157. The reversal of 101745153 is 351547101.

It can be written as a sum of positive squares in 4 ways, for example, as 19607184 + 82137969 = 4428^2 + 9063^2 .

It is not a de Polignac number, because 101745153 - 2⁸ = 101744897 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (101745157) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 49951 + ... + 51947.

Almost surely, 2^101745153 is an apocalyptic number.

It is an amenable number.

101745153 is a deficient number, since it is larger than the sum of its proper divisors (63617319).

101745153 is a wasteful number, since it uses less digits than its factorization.

101745153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2063 (or 2054 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 101745153 is about 10086.8802411846. The cubic root of 101745153 is about 466.8434211960.

The spelling of 101745153 in words is "one hundred one million, seven hundred forty-five thousand, one hundred fifty-three".