101620263 has 32 divisors (see below), whose sum is σ = 148377600. Its totient is φ = 61689600.

The previous prime is 101620249. The next prime is 101620319. The reversal of 101620263 is 362026101.

It is a happy number.

It is not a de Polignac number, because 101620263 - 2¹² = 101616167 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101620163) 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 31 ways as a sum of consecutive naturals, for example, 110118 + ... + 111036.

It is an arithmetic number, because the mean of its divisors is an integer number (4636800).

Almost surely, 2^101620263 is an apocalyptic number.

101620263 is a deficient number, since it is larger than the sum of its proper divisors (46757337).

101620263 is a wasteful number, since it uses less digits than its factorization.

101620263 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023.

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 101620263 is about 10080.6876253557. The cubic root of 101620263 is about 466.6523295482.

Adding to 101620263 its reverse (362026101), we get a palindrome (463646364).

The spelling of 101620263 in words is "one hundred one million, six hundred twenty thousand, two hundred sixty-three".