100121760 has 144 divisors (see below), whose sum is σ = 356638464. Its totient is φ = 25529856.

The previous prime is 100121753. The next prime is 100121767. The reversal of 100121760 is 67121001.

It is an interprime number because it is at equal distance from previous prime (100121753) and next prime (100121767).

It is a tau number, because it is divible by the number of its divisors (144).

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 (100121767) 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, 31609 + ... + 34631.

It is an arithmetic number, because the mean of its divisors is an integer number (2476656).

Almost surely, 2^100121760 is an apocalyptic number.

100121760 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 100121760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178319232).

100121760 is an abundant number, since it is smaller than the sum of its proper divisors (256516704).

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

100121760 is a wasteful number, since it uses less digits than its factorization.

100121760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3067 (or 3056 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 100121760 is about 10006.0861479402. The cubic root of 100121760 is about 464.3471935719.

Adding to 100121760 its reverse (67121001), we get a palindrome (167242761).

The spelling of 100121760 in words is "one hundred million, one hundred twenty-one thousand, seven hundred sixty".