100140264 has 96 divisors (see below), whose sum is σ = 311351040. Its totient is φ = 28483200.

The previous prime is 100140259. The next prime is 100140269. The reversal of 100140264 is 462041001.

It is an interprime number because it is at equal distance from previous prime (100140259) and next prime (100140269).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (100140269) 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, 216994 + ... + 217454.

It is an arithmetic number, because the mean of its divisors is an integer number (3243240).

Almost surely, 2^100140264 is an apocalyptic number.

100140264 is a gapful number since it is divisible by the number (14) 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 100140264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155675520).

100140264 is an abundant number, since it is smaller than the sum of its proper divisors (211210776).

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

100140264 is a wasteful number, since it uses less digits than its factorization.

100140264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 100140264 is about 10007.0107424745. The cubic root of 100140264 is about 464.3757979139.

Adding to 100140264 its reverse (462041001), we get a palindrome (562181265).

The spelling of 100140264 in words is "one hundred million, one hundred forty thousand, two hundred sixty-four".