100121840 has 160 divisors (see below), whose sum is σ = 303730560. Its totient is φ = 29786112.

The previous prime is 100121837. The next prime is 100121851. The reversal of 100121840 is 48121001.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123356 + ... + 124164.

It is an arithmetic number, because the mean of its divisors is an integer number (1898316).

Almost surely, 2^100121840 is an apocalyptic number.

100121840 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 100121840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151865280).

100121840 is an abundant number, since it is smaller than the sum of its proper divisors (203608720).

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

100121840 is a wasteful number, since it uses less digits than its factorization.

100121840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

The square root of 100121840 is about 10006.0901455064. The cubic root of 100121840 is about 464.3473172472.

Adding to 100121840 its reverse (48121001), we get a palindrome (148242841).

The spelling of 100121840 in words is "one hundred million, one hundred twenty-one thousand, eight hundred forty".