101764993 has 24 divisors (see below), whose sum is σ = 116568648. Its totient is φ = 88704000.

The previous prime is 101764979. The next prime is 101764997. The reversal of 101764993 is 399467101.

It can be written as a sum of positive squares in 4 ways, for example, as 5489649 + 96275344 = 2343^2 + 9812^2 .

It is not a de Polignac number, because 101764993 - 2¹³ = 101756801 is a prime.

It is a super-2 number, since 2×101764993² = 20712227600580098, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101764997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 362013 + ... + 362293.

It is an arithmetic number, because the mean of its divisors is an integer number (4857027).

Almost surely, 2^101764993 is an apocalyptic number.

It is an amenable number.

101764993 is a deficient number, since it is larger than the sum of its proper divisors (14803655).

101764993 is a wasteful number, since it uses less digits than its factorization.

101764993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 40.

The square root of 101764993 is about 10087.8636489596. The cubic root of 101764993 is about 466.8737635800.

The spelling of 101764993 in words is "one hundred one million, seven hundred sixty-four thousand, nine hundred ninety-three".