100561629 has 16 divisors (see below), whose sum is σ = 153649152. Its totient is φ = 57309168.

The previous prime is 100561619. The next prime is 100561639. The reversal of 100561629 is 926165001.

It is an interprime number because it is at equal distance from previous prime (100561619) and next prime (100561639).

It is not a de Polignac number, because 100561629 - 2⁷ = 100561501 is a prime.

It is a super-2 number, since 2×100561629² = 20225282454267282, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100561596 and 100561605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100561619) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1792 + ... + 14294.

It is an arithmetic number, because the mean of its divisors is an integer number (9603072).

Almost surely, 2^100561629 is an apocalyptic number.

It is an amenable number.

100561629 is a deficient number, since it is larger than the sum of its proper divisors (53087523).

100561629 is a wasteful number, since it uses less digits than its factorization.

100561629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12896.

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 100561629 is about 10028.0421319418. The cubic root of 100561629 is about 465.0262119575.

The spelling of 100561629 in words is "one hundred million, five hundred sixty-one thousand, six hundred twenty-nine".