106029400 has 48 divisors (see below), whose sum is σ = 252271800. Its totient is φ = 41422080.

The previous prime is 106029377. The next prime is 106029409. The reversal of 106029400 is 4920601.

It is a super-2 number, since 2×106029400² = 22484467328720000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106029409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2436 + ... + 14764.

Almost surely, 2^106029400 is an apocalyptic number.

106029400 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 106029400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126135900).

106029400 is an abundant number, since it is smaller than the sum of its proper divisors (146242400).

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

106029400 is a wasteful number, since it uses less digits than its factorization.

106029400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12388 (or 12379 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 106029400 is about 10297.0578322160. The cubic root of 106029400 is about 473.3060995153.

It can be divided in two parts, 10602 and 9400, that added together give a palindrome (20002).

The spelling of 106029400 in words is "one hundred six million, twenty-nine thousand, four hundred".