100401480 has 192 divisors, whose sum is σ = 345384000. Its totient is φ = 25256448.

The previous prime is 100401407. The next prime is 100401487. The reversal of 100401480 is 84104001.

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 (100401487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 615879 + ... + 616041.

It is an arithmetic number, because the mean of its divisors is an integer number (1798875).

Almost surely, 2^100401480 is an apocalyptic number.

100401480 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 100401480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172692000).

100401480 is an abundant number, since it is smaller than the sum of its proper divisors (244982520).

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

100401480 is a wasteful number, since it uses less digits than its factorization.

100401480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 261 counting only the distinct ones).

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

The square root of 100401480 is about 10020.0538920706. The cubic root of 100401480 is about 464.7792222832.

Adding to 100401480 its reverse (84104001), we get a palindrome (184505481).

The spelling of 100401480 in words is "one hundred million, four hundred one thousand, four hundred eighty".