106152400 has 30 divisors (see below), whose sum is σ = 255032102. Its totient is φ = 42460800.

The previous prime is 106152377. The next prime is 106152407. The reversal of 106152400 is 4251601.

It can be written as a sum of positive squares in 3 ways, for example, as 11128896 + 95023504 = 3336^2 + 9748^2 .

It is a super-2 number, since 2×106152400² = 22536664051520000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106152407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 132291 + ... + 133090.

Almost surely, 2^106152400 is an apocalyptic number.

106152400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106152400 is an abundant number, since it is smaller than the sum of its proper divisors (148879702).

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

106152400 is a wasteful number, since it uses less digits than its factorization.

106152400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265399 (or 265388 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 106152400 is about 10303.0286809268. The cubic root of 106152400 is about 473.4890492545.

The spelling of 106152400 in words is "one hundred six million, one hundred fifty-two thousand, four hundred".