106648600 has 48 divisors (see below), whose sum is σ = 253744920. Its totient is φ = 41664000.

The previous prime is 106648583. The next prime is 106648621. The reversal of 106648600 is 6846601.

It is a super-2 number, since 2×106648600² = 22747847763920000, which contains 22 as substring.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 2400 + ... + 14800.

Almost surely, 2^106648600 is an apocalyptic number.

106648600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106648600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126872460).

106648600 is an abundant number, since it is smaller than the sum of its proper divisors (147096320).

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

106648600 is a wasteful number, since it uses less digits than its factorization.

106648600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12460 (or 12451 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 106648600 is about 10327.0809041084. The cubic root of 106648600 is about 474.2256635845.

The spelling of 106648600 in words is "one hundred six million, six hundred forty-eight thousand, six hundred".