100273140 has 240 divisors, whose sum is σ = 364440384. Its totient is φ = 22809600.

The previous prime is 100273139. The next prime is 100273141. The reversal of 100273140 is 41372001.

It is an interprime number because it is at equal distance from previous prime (100273139) and next prime (100273141).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100273141) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 302775 + ... + 303105.

Almost surely, 2^100273140 is an apocalyptic number.

100273140 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 100273140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182220192).

100273140 is an abundant number, since it is smaller than the sum of its proper divisors (264167244).

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

100273140 is a wasteful number, since it uses less digits than its factorization.

100273140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 100273140 is about 10013.6476870319. The cubic root of 100273140 is about 464.5811003711.

The spelling of 100273140 in words is "one hundred million, two hundred seventy-three thousand, one hundred forty".