100481472 has 336 divisors, whose sum is σ = 372782592. Its totient is φ = 26127360.

The previous prime is 100481449. The next prime is 100481477. The reversal of 100481472 is 274184001.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100481477) 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, 1415197 + ... + 1415267.

It is an arithmetic number, because the mean of its divisors is an integer number (1109472).

Almost surely, 2^100481472 is an apocalyptic number.

100481472 is a gapful number since it is divisible by the number (12) 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 100481472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186391296).

100481472 is an abundant number, since it is smaller than the sum of its proper divisors (272301120).

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

100481472 is an equidigital number, since it uses as much as digits as its factorization.

100481472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 100481472 is about 10024.0446926378. The cubic root of 100481472 is about 464.9026226894.

The spelling of 100481472 in words is "one hundred million, four hundred eighty-one thousand, four hundred seventy-two".