100437040 has 80 divisors (see below), whose sum is σ = 268197120. Its totient is φ = 34594560.

The previous prime is 100437023. The next prime is 100437041. The reversal of 100437040 is 40734001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 100436999 and 100437017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100437041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13717 + ... + 19723.

It is an arithmetic number, because the mean of its divisors is an integer number (3352464).

Almost surely, 2^100437040 is an apocalyptic number.

100437040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100437040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134098560).

100437040 is an abundant number, since it is smaller than the sum of its proper divisors (167760080).

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

100437040 is a wasteful number, since it uses less digits than its factorization.

100437040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6050 (or 6044 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 100437040 is about 10021.8281765355. The cubic root of 100437040 is about 464.8340873386.

The spelling of 100437040 in words is "one hundred million, four hundred thirty-seven thousand, forty".