90192703041 has 105 divisors (see below), whose sum is σ = 158453693201. Its totient is φ = 51311644776.

The previous prime is 90192703039. The next prime is 90192703043. The reversal of 90192703041 is 14030729109.

The square root of 90192703041 is 300321.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (90192703039) and next prime (90192703043).

It is not a de Polignac number, because 90192703041 - 2¹ = 90192703039 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 90192702987 and 90192703005.

It is not an unprimeable number, because it can be changed into a prime (90192703043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 397324570 + ... + 397324796.

Almost surely, 2^90192703041 is an apocalyptic number.

90192703041 is the 300321-st square number.

90192703041 is the 150161-st centered octagonal number.

It is an amenable number.

90192703041 is a deficient number, since it is larger than the sum of its proper divisors (68260990160).

90192703041 is an frugal number, since it uses more digits than its factorization.

90192703041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

Multiplying 90192703041 by its sum of digits (36), we get a square (3246937309476 = 1801926²).

The spelling of 90192703041 in words is "ninety billion, one hundred ninety-two million, seven hundred three thousand, forty-one".