45263100 has 108 divisors (see below), whose sum is σ = 136183992. Its totient is φ = 11606400.

The previous prime is 45263083. The next prime is 45263107. The reversal of 45263100 is 136254.

It is a happy number.

It is a super-2 number, since 2×45263100² = 4097496443220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45263107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 288222 + ... + 288378.

Almost surely, 2^45263100 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 45263100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68091996).

45263100 is an abundant number, since it is smaller than the sum of its proper divisors (90920892).

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

45263100 is a wasteful number, since it uses less digits than its factorization.

45263100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 45263100 is about 6727.7856684053. The cubic root of 45263100 is about 356.3811828363.

Adding to 45263100 its reverse (136254), we get a palindrome (45399354).

It can be divided in two parts, 4526 and 3100, that added together give a triangular number (7626 = T₁₂₃).

The spelling of 45263100 in words is "forty-five million, two hundred sixty-three thousand, one hundred".