100155440 has 160 divisors (see below), whose sum is σ = 295695360. Its totient is φ = 30643200.

The previous prime is 100155439. The next prime is 100155443. The reversal of 100155440 is 44551001.

It is a super-2 number, since 2×100155440² = 20062224323187200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (100155443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 437246 + ... + 437474.

It is an arithmetic number, because the mean of its divisors is an integer number (1848096).

Almost surely, 2^100155440 is an apocalyptic number.

100155440 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 100155440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147847680).

100155440 is an abundant number, since it is smaller than the sum of its proper divisors (195539920).

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

100155440 is a wasteful number, since it uses less digits than its factorization.

100155440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 100155440 is about 10007.7689821458. The cubic root of 100155440 is about 464.3992550491.

The spelling of 100155440 in words is "one hundred million, one hundred fifty-five thousand, four hundred forty".