88045100 has 144 divisors (see below), whose sum is σ = 230985216. Its totient is φ = 28704000.

The previous prime is 88045049. The next prime is 88045103. The reversal of 88045100 is 154088.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 88045100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88045103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 672035 + ... + 672165.

It is an arithmetic number, because the mean of its divisors is an integer number (1604064).

Almost surely, 2^88045100 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 88045100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115492608).

88045100 is an abundant number, since it is smaller than the sum of its proper divisors (142940116).

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

88045100 is a wasteful number, since it uses less digits than its factorization.

88045100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 26.

The square root of 88045100 is about 9383.2350498109. The cubic root of 88045100 is about 444.8719911230.

Adding to 88045100 its reverse (154088), we get a palindrome (88199188).

The spelling of 88045100 in words is "eighty-eight million, forty-five thousand, one hundred".