101005102969 has 27 divisors (see below), whose sum is σ = 109418979663. Its totient is φ = 93223451664.

The previous prime is 101005102949. The next prime is 101005102987. The reversal of 101005102969 is 969201500101.

It is a happy number.

The square root of 101005102969 is 317813.

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., 23843374569 + 77161728400 = 154413^2 + 277780^2 .

It is not a de Polignac number, because 101005102969 - 2⁷ = 101005102841 is a prime.

It is a super-2 number, since 2×101005102969² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101005102949) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 259653027 + ... + 259653415.

Almost surely, 2^101005102969 is an apocalyptic number.

101005102969 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

101005102969 is the 317813-rd square number.

101005102969 is the 158907-th centered octagonal number.

It is an amenable number.

101005102969 is a deficient number, since it is larger than the sum of its proper divisors (8413876694).

101005102969 is an frugal number, since it uses more digits than its factorization.

101005102969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 34.

The spelling of 101005102969 in words is "one hundred one billion, five million, one hundred two thousand, nine hundred sixty-nine".