100401000 has 192 divisors, whose sum is σ = 364927680. Its totient is φ = 22915200.

The previous prime is 100400999. The next prime is 100401011. The reversal of 100401000 is 104001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 100401000.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 146659 + ... + 147341.

It is an arithmetic number, because the mean of its divisors is an integer number (1900665).

Almost surely, 2^100401000 is an apocalyptic number.

100401000 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 100401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182463840).

100401000 is an abundant number, since it is smaller than the sum of its proper divisors (264526680).

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

100401000 is a wasteful number, since it uses less digits than its factorization.

100401000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 100401000 is about 10020.0299400750. The cubic root of 100401000 is about 464.7784816089.

Adding to 100401000 its reverse (104001), we get a palindrome (100505001).

The spelling of 100401000 in words is "one hundred million, four hundred one thousand".