100047960 has 224 divisors, whose sum is σ = 349410240. Its totient is φ = 25754112.

The previous prime is 100047947. The next prime is 100047967. The reversal of 100047960 is 69740001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100047967) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1370484 + ... + 1370556.

Almost surely, 2^100047960 is an apocalyptic number.

100047960 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 100047960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174705120).

100047960 is an abundant number, since it is smaller than the sum of its proper divisors (249362280).

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

100047960 is an equidigital number, since it uses as much as digits as its factorization.

100047960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 100047960 is about 10002.3977125487. The cubic root of 100047960 is about 464.2330750353.

Adding to 100047960 its reverse (69740001), we get a palindrome (169787961).

The spelling of 100047960 in words is "one hundred million, forty-seven thousand, nine hundred sixty".