103612416 has 136 divisors (see below), whose sum is σ = 301987584. Its totient is φ = 31457280.

The previous prime is 103612409. The next prime is 103612423. The reversal of 103612416 is 614216301.

It is an interprime number because it is at equal distance from previous prime (103612409) and next prime (103612423).

It is a tau number, because it is divible by the number of its divisors (136).

It is a super-3 number, since 3×103612416³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3342321 + ... + 3342351.

Almost surely, 2^103612416 is an apocalyptic number.

103612416 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 103612416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150993792).

103612416 is an abundant number, since it is smaller than the sum of its proper divisors (198375168).

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

103612416 is an frugal number, since it uses more digits than its factorization.

103612416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 103612416 is about 10179.0184202604. The cubic root of 103612416 is about 469.6820182038.

Adding to 103612416 its reverse (614216301), we get a palindrome (717828717).

The spelling of 103612416 in words is "one hundred three million, six hundred twelve thousand, four hundred sixteen".