100861849 has 15 divisors (see below), whose sum is σ = 112300165. Its totient is φ = 90587860.

The previous prime is 100861841. The next prime is 100861883. The reversal of 100861849 is 948168001.

It is a happy number.

The square root of 100861849 is 10043.

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

It is not a de Polignac number, because 100861849 - 2³ = 100861841 is a prime.

It is a super-2 number, since 2×100861849² = 20346225167397602, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100861841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1215162 + ... + 1215244.

Almost surely, 2^100861849 is an apocalyptic number.

100861849 is the 10043-rd square number.

100861849 is the 5022-nd centered octagonal number.

It is an amenable number.

100861849 is a deficient number, since it is larger than the sum of its proper divisors (11438316).

100861849 is an frugal number, since it uses more digits than its factorization.

100861849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 37.

The cubic root of 100861849 is about 465.4885203895.

It can be divided in two parts, 10086 and 1849, that added together give a triangular number (11935 = T₁₅₄).

The spelling of 100861849 in words is "one hundred million, eight hundred sixty-one thousand, eight hundred forty-nine".