102742893 has 48 divisors (see below), whose sum is σ = 168210432. Its totient is φ = 59892000.

The previous prime is 102742889. The next prime is 102742919. The reversal of 102742893 is 398247201.

It is not a de Polignac number, because 102742893 - 2² = 102742889 is a prime.

It is a super-2 number, since 2×102742893² = 21112204124018898, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102742813) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 330208 + ... + 330518.

It is an arithmetic number, because the mean of its divisors is an integer number (3504384).

Almost surely, 2^102742893 is an apocalyptic number.

It is an amenable number.

102742893 is a deficient number, since it is larger than the sum of its proper divisors (65467539).

102742893 is a wasteful number, since it uses less digits than its factorization.

102742893 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 102742893 is about 10136.2168978372. The cubic root of 102742893 is about 468.3644569543.

The spelling of 102742893 in words is "one hundred two million, seven hundred forty-two thousand, eight hundred ninety-three".