45106516 has 48 divisors (see below), whose sum is σ = 98388864. Its totient is φ = 17617536.

The previous prime is 45106487. The next prime is 45106531. The reversal of 45106516 is 61560154.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29466 + ... + 30958.

It is an arithmetic number, because the mean of its divisors is an integer number (2049768).

Almost surely, 2^45106516 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 45106516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49194432).

45106516 is an abundant number, since it is smaller than the sum of its proper divisors (53282348).

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

45106516 is a wasteful number, since it uses less digits than its factorization.

45106516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1600 (or 1598 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 45106516 is about 6716.1384738553. The cubic root of 45106516 is about 355.9697508280.

It can be divided in two parts, 4510 and 6516, that added together give a triangular number (11026 = T₁₄₈).

The spelling of 45106516 in words is "forty-five million, one hundred six thousand, five hundred sixteen".