100540416 has 56 divisors (see below), whose sum is σ = 268156944. Its totient is φ = 33505280.

The previous prime is 100540411. The next prime is 100540421. The reversal of 100540416 is 614045001.

It is an interprime number because it is at equal distance from previous prime (100540411) and next prime (100540421).

It is a junction number, because it is equal to n+sod(n) for n = 100540392 and 100540401.

It is not an unprimeable number, because it can be changed into a prime (100540411) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22531 + ... + 26621.

Almost surely, 2^100540416 is an apocalyptic number.

100540416 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 100540416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134078472).

100540416 is an abundant number, since it is smaller than the sum of its proper divisors (167616528).

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

100540416 is an frugal number, since it uses more digits than its factorization.

100540416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4120 (or 4096 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 100540416 is about 10026.9843921291. The cubic root of 100540416 is about 464.9935112981.

Adding to 100540416 its reverse (614045001), we get a palindrome (714585417).

The spelling of 100540416 in words is "one hundred million, five hundred forty thousand, four hundred sixteen".