106150200 has 192 divisors, whose sum is σ = 366643200. Its totient is φ = 25228800.

The previous prime is 106150199. The next prime is 106150201. The reversal of 106150200 is 2051601.

It is an interprime number because it is at equal distance from previous prime (106150199) and next prime (106150201).

It is a super-2 number, since 2×106150200² = 22535729920080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 106150200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106150201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 241581 + ... + 242019.

It is an arithmetic number, because the mean of its divisors is an integer number (1909600).

Almost surely, 2^106150200 is an apocalyptic number.

106150200 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 106150200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183321600).

106150200 is an abundant number, since it is smaller than the sum of its proper divisors (260493000).

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

106150200 is a wasteful number, since it uses less digits than its factorization.

106150200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 106150200 is about 10302.9219156509. The cubic root of 106150200 is about 473.4857782243.

The spelling of 106150200 in words is "one hundred six million, one hundred fifty thousand, two hundred".