102953331 has 24 divisors (see below), whose sum is σ = 161965440. Its totient is φ = 62637696.

The previous prime is 102953321. The next prime is 102953369. The reversal of 102953331 is 133359201.

It is a happy number.

It is not a de Polignac number, because 102953331 - 2¹⁴ = 102936947 is a prime.

It is a super-2 number, since 2×102953331² = 21198776727991122, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102953295 and 102953304.

It is not an unprimeable number, because it can be changed into a prime (102953321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5470 + ... + 15356.

It is an arithmetic number, because the mean of its divisors is an integer number (6748560).

Almost surely, 2^102953331 is an apocalyptic number.

102953331 is a deficient number, since it is larger than the sum of its proper divisors (59012109).

102953331 is a wasteful number, since it uses less digits than its factorization.

102953331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9995 (or 9992 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 102953331 is about 10146.5920879870. The cubic root of 102953331 is about 468.6840069229.

The spelling of 102953331 in words is "one hundred two million, nine hundred fifty-three thousand, three hundred thirty-one".