100849440 has 144 divisors (see below), whose sum is σ = 337925952. Its totient is φ = 25276416.

The previous prime is 100849439. The next prime is 100849447. The reversal of 100849440 is 44948001.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 100849398 and 100849407.

It is not an unprimeable number, because it can be changed into a prime (100849447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138357 + ... + 139083.

It is an arithmetic number, because the mean of its divisors is an integer number (2346708).

Almost surely, 2^100849440 is an apocalyptic number.

100849440 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 100849440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168962976).

100849440 is an abundant number, since it is smaller than the sum of its proper divisors (237076512).

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

100849440 is a wasteful number, since it uses less digits than its factorization.

100849440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 100849440 is about 10042.3821875091. The cubic root of 100849440 is about 465.4694299735.

The spelling of 100849440 in words is "one hundred million, eight hundred forty-nine thousand, four hundred forty".