Search a number
-
+
102106607 = 174722719
BaseRepresentation
bin1100001011000…
…00010111101111
321010010112221012
412011200113233
5202114402412
614044255435
72346614621
oct605402757
9233115835
10102106607
1152700229
122a24157b
1318200615
14d7bcc11
158e6dc22
hex61605ef

102106607 has 12 divisors (see below), whose sum is σ = 110502720. Its totient is φ = 94021056.

The previous prime is 102106601. The next prime is 102106621. The reversal of 102106607 is 706601201.

It is a de Polignac number, because none of the positive numbers 2k-102106607 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102106601) 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, 36194 + ... + 38912.

It is an arithmetic number, because the mean of its divisors is an integer number (9208560).

Almost surely, 2102106607 is an apocalyptic number.

102106607 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

102106607 is a deficient number, since it is larger than the sum of its proper divisors (8396113).

102106607 is an equidigital number, since it uses as much as digits as its factorization.

102106607 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2830 (or 2783 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 102106607 is about 10104.7813929842. The cubic root of 102106607 is about 467.3955948995.

Adding to 102106607 its reverse (706601201), we get a palindrome (808707808).

The spelling of 102106607 in words is "one hundred two million, one hundred six thousand, six hundred seven".

Divisors: 1 17 47 799 2209 2719 37553 46223 127793 2172481 6006271 102106607