100749 has 16 divisors (see below), whose sum is σ = 152064. Its totient is φ = 58800.

The previous prime is 100747. The next prime is 100769. The reversal of 100749 is 947001.

It is not a de Polignac number, because 100749 - 2¹ = 100747 is a prime.

It is a super-2 number, since 2×100749² = 20300722002, which contains 22 as substring.

It is an Ulam number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100741) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1384 + ... + 1454.

It is an arithmetic number, because the mean of its divisors is an integer number (9504).

2¹⁰⁰⁷⁴⁹ is an apocalyptic number.

It is an amenable number.

100749 is a deficient number, since it is larger than the sum of its proper divisors (51315).

100749 is a wasteful number, since it uses less digits than its factorization.

100749 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128.

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 100749 is about 317.4098297155. The cubic root of 100749 is about 46.5314852091.

The spelling of 100749 in words is "one hundred thousand, seven hundred forty-nine".