102538953 has 56 divisors (see below), whose sum is σ = 176803680. Its totient is φ = 58786560.

The previous prime is 102538949. The next prime is 102538957. The reversal of 102538953 is 359835201.

It is an interprime number because it is at equal distance from previous prime (102538949) and next prime (102538957).

It is not a de Polignac number, because 102538953 - 2² = 102538949 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102538957) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 152025 + ... + 152697.

Almost surely, 2^102538953 is an apocalyptic number.

It is an amenable number.

102538953 is a deficient number, since it is larger than the sum of its proper divisors (74264727).

102538953 is an equidigital number, since it uses as much as digits as its factorization.

102538953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 102538953 is about 10126.1519344715. The cubic root of 102538953 is about 468.0543575915.

The spelling of 102538953 in words is "one hundred two million, five hundred thirty-eight thousand, nine hundred fifty-three".