51100416 has 72 divisors (see below), whose sum is σ = 151133360. Its totient is φ = 17031168.

The previous prime is 51100409. The next prime is 51100429. The reversal of 51100416 is 61400115.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×51100416² = 5222505030746112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3216 + ... + 10608.

Almost surely, 2^51100416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51100416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75566680).

51100416 is an abundant number, since it is smaller than the sum of its proper divisors (100032944).

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

51100416 is an equidigital number, since it uses as much as digits as its factorization.

51100416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7418 (or 7398 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 51100416 is about 7148.4554975183. The cubic root of 51100416 is about 371.0862066971.

The spelling of 51100416 in words is "fifty-one million, one hundred thousand, four hundred sixteen".