106915600 has 135 divisors (see below), whose sum is σ = 288473941. Its totient is φ = 38051200.

The previous prime is 106915597. The next prime is 106915619. The reversal of 106915600 is 6519601.

The square root of 106915600 is 10340.

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

It can be written as a sum of positive squares in only one way, i.e., 38489616 + 68425984 = 6204^2 + 8272^2 .

It is a super-2 number, since 2×106915600² = 22861891046720000, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2274777 + ... + 2274823.

Almost surely, 2^106915600 is an apocalyptic number.

106915600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106915600 is the 10340-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106915600

106915600 is an abundant number, since it is smaller than the sum of its proper divisors (181558341).

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

106915600 is a wasteful number, since it uses less digits than its factorization.

106915600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 28.

The cubic root of 106915600 is about 474.6210828520.

The spelling of 106915600 in words is "one hundred six million, nine hundred fifteen thousand, six hundred".