100348416 has 320 divisors, whose sum is σ = 365333760. Its totient is φ = 26542080.

The previous prime is 100348397. The next prime is 100348421. The reversal of 100348416 is 614843001.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 100348416.

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, 1645026 + ... + 1645086.

It is an arithmetic number, because the mean of its divisors is an integer number (1141668).

Almost surely, 2^100348416 is an apocalyptic number.

100348416 is a gapful number since it is divisible by the number (16) 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 100348416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182666880).

100348416 is an abundant number, since it is smaller than the sum of its proper divisors (264985344).

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

100348416 is an equidigital number, since it uses as much as digits as its factorization.

100348416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 100348416 is about 10017.4056521636. The cubic root of 100348416 is about 464.6973264423.

The spelling of 100348416 in words is "one hundred million, three hundred forty-eight thousand, four hundred sixteen".