88262468100 has 135 divisors (see below), whose sum is σ = 286198753071. Its totient is φ = 23529528000.

The previous prime is 88262468089. The next prime is 88262468131. The reversal of 88262468100 is 186426288.

The square root of 88262468100 is 297090.

It is a perfect power (a square), and thus also a powerful number.

88262468100 is a `hidden beast` number, since 8 + 8 + 2 + 624 + 6 + 8 + 10 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17063151876 + 71199316224 = 130626^2 + 266832^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a super-2 number, since 2×88262468100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 26736450 + ... + 26739750.

Almost surely, 2^88262468100 is an apocalyptic number.

88262468100 is the 297090-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88262468100

88262468100 is an abundant number, since it is smaller than the sum of its proper divisors (197936284971).

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

88262468100 is an equidigital number, since it uses as much as digits as its factorization.

88262468100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6628 (or 3311 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 88262468100 in words is "eighty-eight billion, two hundred sixty-two million, four hundred sixty-eight thousand, one hundred".