102361793 has 8 divisors (see below), whose sum is σ = 106353000. Its totient is φ = 98401408.

The previous prime is 102361781. The next prime is 102361807. The reversal of 102361793 is 397163201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 12054784 + 90307009 = 3472^2 + 9503^2 .

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

It is not a de Polignac number, because 102361793 - 2⁸ = 102361537 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102361733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 818 + ... + 14331.

It is an arithmetic number, because the mean of its divisors is an integer number (13294125).

Almost surely, 2^102361793 is an apocalyptic number.

It is an amenable number.

102361793 is a deficient number, since it is larger than the sum of its proper divisors (3991207).

102361793 is a wasteful number, since it uses less digits than its factorization.

102361793 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15411.

The product of its (nonzero) digits is 6804, while the sum is 32.

The square root of 102361793 is about 10117.4005060589. The cubic root of 102361793 is about 467.7846444457.

The spelling of 102361793 in words is "one hundred two million, three hundred sixty-one thousand, seven hundred ninety-three".