102753157 has 8 divisors (see below), whose sum is σ = 111271160. Its totient is φ = 94322880.

The previous prime is 102753149. The next prime is 102753191. The reversal of 102753157 is 751357201.

It can be written as a sum of positive squares in 4 ways, for example, as 3272481 + 99480676 = 1809^2 + 9974^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102753157 - 2³ = 102753149 is a prime.

It is a super-2 number, since 2×102753157² = 21116422546933298, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102753137) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19482 + ... + 24187.

It is an arithmetic number, because the mean of its divisors is an integer number (13908895).

Almost surely, 2^102753157 is an apocalyptic number.

It is an amenable number.

102753157 is a deficient number, since it is larger than the sum of its proper divisors (8518003).

102753157 is a wasteful number, since it uses less digits than its factorization.

102753157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43863.

The product of its (nonzero) digits is 7350, while the sum is 31.

The square root of 102753157 is about 10136.7231884865. The cubic root of 102753157 is about 468.3800529485.

The spelling of 102753157 in words is "one hundred two million, seven hundred fifty-three thousand, one hundred fifty-seven".