Search a number
-
+
106373250 = 2355317103
BaseRepresentation
bin1100101011100…
…10000010000010
321102011022200000
412111302002002
5204212421000
614315540430
72431105044
oct625620202
9242138600
10106373250
1155054885
122b75a716
1319065669
14101ada94
159513000
hex6572082

106373250 has 192 divisors, whose sum is σ = 318898944. Its totient is φ = 26438400.

The previous prime is 106373237. The next prime is 106373257. The reversal of 106373250 is 52373601.

It is a happy number.

106373250 is a `hidden beast` number, since 1 + 0 + 637 + 3 + 25 + 0 = 666.

It is a super-2 number, since 2×1063732502 = 22630536631125000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (106373257) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1032699 + ... + 1032801.

It is an arithmetic number, because the mean of its divisors is an integer number (1660932).

Almost surely, 2106373250 is an apocalyptic number.

106373250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106373250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159449472).

106373250 is an abundant number, since it is smaller than the sum of its proper divisors (212525694).

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

106373250 is a wasteful number, since it uses less digits than its factorization.

106373250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 106373250 is about 10313.7408344402. The cubic root of 106373250 is about 473.8171863508.

The spelling of 106373250 in words is "one hundred six million, three hundred seventy-three thousand, two hundred fifty".