106952300 has 216 divisors, whose sum is σ = 307542816. Its totient is φ = 31933440.

The previous prime is 106952281. The next prime is 106952303. The reversal of 106952300 is 3259601.

It is a super-2 number, since 2×106952300² = 22877588950580000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 106952300.

It is not an unprimeable number, because it can be changed into a prime (106952303) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1465064 + ... + 1465136.

Almost surely, 2^106952300 is an apocalyptic number.

106952300 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 106952300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153771408).

106952300 is an abundant number, since it is smaller than the sum of its proper divisors (200590516).

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

106952300 is a wasteful number, since it uses less digits than its factorization.

106952300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 26.

The square root of 106952300 is about 10341.7745092416. The cubic root of 106952300 is about 474.6753830074.

The spelling of 106952300 in words is "one hundred six million, nine hundred fifty-two thousand, three hundred".