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106960830 = 23525713873
BaseRepresentation
bin1100110000000…
…01011110111110
321110021011200020
412120001132332
5204340221310
614340313010
72436103104
oct630013676
9243234606
10106960830
1155416289
122b9a2766
131920cc42
14102c3c74
1595cc170
hex66017be

106960830 has 32 divisors (see below), whose sum is σ = 257723424. Its totient is φ = 28409856.

The previous prime is 106960829. The next prime is 106960831. The reversal of 106960830 is 38069601.

It is an interprime number because it is at equal distance from previous prime (106960829) and next prime (106960831).

It is a super-2 number, since 2×1069608302 = 22881238308577800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106960791 and 106960800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106960831) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 774 + ... + 14646.

It is an arithmetic number, because the mean of its divisors is an integer number (8053857).

Almost surely, 2106960830 is an apocalyptic number.

106960830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106960830 is an abundant number, since it is smaller than the sum of its proper divisors (150762594).

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

106960830 is a wasteful number, since it uses less digits than its factorization.

106960830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14140.

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 106960830 is about 10342.1869060659. The cubic root of 106960830 is about 474.6880019456.

The spelling of 106960830 in words is "one hundred six million, nine hundred sixty thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 257 514 771 1285 1542 2570 3855 7710 13873 27746 41619 69365 83238 138730 208095 416190 3565361 7130722 10696083 17826805 21392166 35653610 53480415 106960830