100561653 has 6 divisors (see below), whose sum is σ = 145255734. Its totient is φ = 67041096.

The previous prime is 100561639. The next prime is 100561667. The reversal of 100561653 is 356165001.

It is a happy number.

100561653 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 6 + 1 + 653 = 666.

It is an interprime number because it is at equal distance from previous prime (100561639) and next prime (100561667).

It can be written as a sum of positive squares in only one way, i.e., 100460529 + 101124 = 10023^2 + 318^2 .

It is not a de Polignac number, because 100561653 - 2²⁶ = 33452789 is a prime.

It is a super-2 number, since 2×100561653² = 20225292108184818, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100561553) 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 5 ways as a sum of consecutive naturals, for example, 5586750 + ... + 5586767.

It is an arithmetic number, because the mean of its divisors is an integer number (24209289).

Almost surely, 2^100561653 is an apocalyptic number.

It is an amenable number.

100561653 is a deficient number, since it is larger than the sum of its proper divisors (44694081).

100561653 is a wasteful number, since it uses less digits than its factorization.

100561653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11173523 (or 11173520 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 100561653 is about 10028.0433285861. The cubic root of 100561653 is about 465.0262489518.

The spelling of 100561653 in words is "one hundred million, five hundred sixty-one thousand, six hundred fifty-three".