100749040 has 40 divisors (see below), whose sum is σ = 267706080. Its totient is φ = 34542336.

The previous prime is 100749031. The next prime is 100749041. The reversal of 100749040 is 40947001.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 100748996 and 100749014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100749041) 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 7 ways as a sum of consecutive naturals, for example, 89395 + ... + 90514.

It is an arithmetic number, because the mean of its divisors is an integer number (6692652).

Almost surely, 2^100749040 is an apocalyptic number.

100749040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100749040 is an abundant number, since it is smaller than the sum of its proper divisors (166957040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100749040 is a wasteful number, since it uses less digits than its factorization.

100749040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179929 (or 179923 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 100749040 is about 10037.3821288222. The cubic root of 100749040 is about 465.3149136713.

The spelling of 100749040 in words is "one hundred million, seven hundred forty-nine thousand, forty".