101263969 has 9 divisors (see below), whose sum is σ = 105179347. Its totient is φ = 97490344.

The previous prime is 101263937. The next prime is 101263979. The reversal of 101263969 is 969362101.

The square root of 101263969 is 10063.

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

It can be written as a sum of positive squares in only one way, i.e., 53100369 + 48163600 = 7287^2 + 6940^2 .

It is not a de Polignac number, because 101263969 - 2⁵ = 101263937 is a prime.

It is a super-2 number, since 2×101263969² = 20508782835265922, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101263919) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 291654 + ... + 292000.

Almost surely, 2^101263969 is an apocalyptic number.

101263969 is the 10063-rd square number.

101263969 is the 5032-nd centered octagonal number.

It is an amenable number.

101263969 is a deficient number, since it is larger than the sum of its proper divisors (3915378).

101263969 is an frugal number, since it uses more digits than its factorization.

101263969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 37.

The cubic root of 101263969 is about 466.1063094412.

The spelling of 101263969 in words is "one hundred one million, two hundred sixty-three thousand, nine hundred sixty-nine".