100311040 has 112 divisors (see below), whose sum is σ = 251642880. Its totient is φ = 38338560.

The previous prime is 100311037. The next prime is 100311059. The reversal of 100311040 is 40113001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1269721 + ... + 1269799.

Almost surely, 2^100311040 is an apocalyptic number.

100311040 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 100311040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125821440).

100311040 is an abundant number, since it is smaller than the sum of its proper divisors (151331840).

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

100311040 is an frugal number, since it uses more digits than its factorization.

100311040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 100311040 is about 10015.5399255357. The cubic root of 100311040 is about 464.6396252024.

Adding to 100311040 its reverse (40113001), we get a palindrome (140424041).

The spelling of 100311040 in words is "one hundred million, three hundred eleven thousand, forty".