45355410100 has 432 divisors, whose sum is σ = 141037473024. Its totient is φ = 12276633600.

The previous prime is 45355410077. The next prime is 45355410109. The reversal of 45355410100 is 101455354.

It is a super-2 number, since 2×45355410100² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45355410109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18717489 + ... + 18719911.

It is an arithmetic number, because the mean of its divisors is an integer number (326475632).

Almost surely, 2^45355410100 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 45355410100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70518736512).

45355410100 is an abundant number, since it is smaller than the sum of its proper divisors (95682062924).

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

45355410100 is a wasteful number, since it uses less digits than its factorization.

45355410100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2496 (or 2478 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

Adding to 45355410100 its reverse (101455354), we get a palindrome (45456865454).

The spelling of 45355410100 in words is "forty-five billion, three hundred fifty-five million, four hundred ten thousand, one hundred".