Search a number
-
+
106023330 = 2355723271
BaseRepresentation
bin1100101000111…
…00100110100010
321101111112200000
412110130212202
5204120221310
614304240430
72425116630
oct624344642
9241445600
10106023330
1154935996
122b610116
1318c722ca
141011c350
1594944c0
hex651c9a2

106023330 has 192 divisors, whose sum is σ = 342171648. Its totient is φ = 23094720.

The previous prime is 106023289. The next prime is 106023331. The reversal of 106023330 is 33320601.

It is a happy number.

106023330 is a `hidden beast` number, since 1 + 0 + 602 + 33 + 30 = 666.

It is a super-2 number, since 2×1060233302 = 22481893008577800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (106023331) 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, 391095 + ... + 391365.

It is an arithmetic number, because the mean of its divisors is an integer number (1782144).

Almost surely, 2106023330 is an apocalyptic number.

106023330 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 106023330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171085824).

106023330 is an abundant number, since it is smaller than the sum of its proper divisors (236148318).

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

106023330 is a wasteful number, since it uses less digits than its factorization.

106023330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 106023330 is about 10296.7630836103. The cubic root of 106023330 is about 473.2970673574.

Adding to 106023330 its reverse (33320601), we get a palindrome (139343931).

The spelling of 106023330 in words is "one hundred six million, twenty-three thousand, three hundred thirty".