10648100 has 36 divisors (see below), whose sum is σ = 23256324. Its totient is φ = 4231680.

The previous prime is 10648093. The next prime is 10648111. The reversal of 10648100 is 184601.

It can be written as a sum of positive squares in 6 ways, for example, as 98596 + 10549504 = 314^2 + 3248^2 .

It is a super-2 number, since 2×10648100² = 226764067220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23072 + ... + 23528.

It is an arithmetic number, because the mean of its divisors is an integer number (646009).

Almost surely, 2^10648100 is an apocalyptic number.

10648100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10648100 is an abundant number, since it is smaller than the sum of its proper divisors (12608224).

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

10648100 is a wasteful number, since it uses less digits than its factorization.

10648100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 10648100 is about 3263.1426570103. The cubic root of 10648100 is about 220.0006887031. Note that the first 3 decimals are identical.

The spelling of 10648100 in words is "ten million, six hundred forty-eight thousand, one hundred".