100401840 has 240 divisors, whose sum is σ = 420615936. Its totient is φ = 20851200.

The previous prime is 100401827. The next prime is 100401841. The reversal of 100401840 is 48104001.

It is a tau number, because it is divible by the number of its divisors (240).

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 (100401841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54535 + ... + 56345.

Almost surely, 2^100401840 is an apocalyptic number.

100401840 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 100401840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210307968).

100401840 is an abundant number, since it is smaller than the sum of its proper divisors (320214096).

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

100401840 is a wasteful number, since it uses less digits than its factorization.

100401840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1848 (or 1839 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 100401840 is about 10020.0718560298. The cubic root of 100401840 is about 464.7797777874.

Adding to 100401840 its reverse (48104001), we get a palindrome (148505841).

The spelling of 100401840 in words is "one hundred million, four hundred one thousand, eight hundred forty".