45678100 has 72 divisors (see below), whose sum is σ = 109477368. Its totient is φ = 16435200.

The previous prime is 45678089. The next prime is 45678119. The reversal of 45678100 is 187654.

It can be written as a sum of positive squares in 12 ways, for example, as 21511044 + 24167056 = 4638^2 + 4916^2 .

It is a super-2 number, since 2×45678100² = 4172977639220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52872 + ... + 53728.

It is an arithmetic number, because the mean of its divisors is an integer number (1520519).

Almost surely, 2^45678100 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 45678100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54738684).

45678100 is an abundant number, since it is smaller than the sum of its proper divisors (63799268).

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

45678100 is a wasteful number, since it uses less digits than its factorization.

45678100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 45678100 is about 6758.5575384101. The cubic root of 45678100 is about 357.4670450657.

The spelling of 45678100 in words is "forty-five million, six hundred seventy-eight thousand, one hundred".